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THE CENTRAL MOLECULAR GAS STRUCTURE IN LINERS WITH LOW-LUMINOSITY ACTIVE GALACTIC NUCLEI: EVIDENCE FOR GRADUAL DISAPPEARANCE OF THE TORUS*

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Published 2012 December 21 © 2013. The American Astronomical Society. All rights reserved.
, , Citation F. Müller-Sánchez et al 2013 ApJL 763 L1 DOI 10.1088/2041-8205/763/1/L1

2041-8205/763/1/L1

ABSTRACT

We present observations of the molecular gas in the nuclear environment of three prototypical low-luminosity active galactic nuclei (LLAGNs), based on VLT/SINFONI AO-assisted integral-field spectroscopy of H2 1–0 S(1) emission at angular resolutions of ∼0farcs17. On scales of 50–150 pc, the spatial distribution and kinematics of the molecular gas are consistent with a rotating thin disk, where the ratio of rotation (V) to dispersion (σ) exceeds unity. However, in the central 50 pc, the observations reveal a geometrically and optically thick structure of molecular gas (V/σ < 1 and NH > 1023 cm−2) that is likely to be associated with the outer extent of any smaller scale obscuring structure. In contrast to Seyfert galaxies, the molecular gas in LLAGNs has a V/σ < 1 over an area that is ∼9 times smaller and column densities that are on average ∼3 times smaller. We interpret these results as evidence for a gradual disappearance of the nuclear obscuring structure. While a disk wind may not be able to maintain a thick rotating structure at these luminosities, inflow of material into the nuclear region could provide sufficient energy to sustain it. In this context, LLAGNs may represent the final phase of accretion in current theories of torus evolution. While the inflow rate is considerable during the Seyfert phase, it is slowly decreasing, and the collisional disk is gradually transitioning to become geometrically thin. Furthermore, the nuclear region of these LLAGNs is dominated by intermediate-age/old stellar populations (with little or no ongoing star formation), consistent with a late stage of evolution.

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1. INTRODUCTION

For three decades, the "unified model" of active galactic nuclei (AGNs) has dominated discussion. Its most popular (and extreme) version assumes that AGN types are distinguished only by viewing angle, with the broad lines in Type-2s blocked from our line of sight (LOS) by a highly inclined molecular/dusty torus. This premise is supposed to hold for all luminosities, from low-luminosity AGNs (LLAGNs) to powerful quasars (Antonucci 1993). More realistic formulations of the torus model involve additional variables such as covering factor or AGN luminosity (see the discussion in Elitzur 2012). Direct evidence for this model comes from spatially resolved interferometric observations of thermal dust in a few prototypical AGNs (e.g., Jaffe et al. 2004; Tristram et al. 2007). However, these observations do not provide sufficient information on the actual geometry (e.g., position angle (P.A.) coverage necessary to constrain shape/orientation) and physical properties (e.g., dynamics) of the obscuring medium.

By means of adaptive optics (AO) integral-field spectroscopy, Hicks et al. (2009, hereafter H09) showed that the molecular gas in the central tens of parsecs of Seyfert galaxies relates directly to the largest structures associated with the obscuring torus, as predicted by clumpy torus models (e.g., Nenkova et al. 2002, 2008; Schartmann et al. 2008): it is in a rotating disk-like distribution, has a high velocity dispersion relative to rotation (V/σ < 1), and is optically thick (see also Müller-Sánchez et al. 2006, 2009). HCN measurements of Seyfert galaxies suggest that the nuclear dense gas also has a large dispersion (Sani et al. 2012). However, it remains unclear how this vertical structure can be supported. Some models suggest that the torus may be an evolving structure driven by accretion processes operating on scales of tens of parsecs, such as nuclear starbursts or disk instabilities (e.g., Vollmer et al. 2008; Wada et al. 2009; Hopkins et al. 2012). When the inflow rate is low, the thickness and opacity of the torus decrease. Alternatively, by considering both the broad-line region and the torus to be different aspects of a disk wind, Elitzur & Ho (2009) argue that the torus thickness depends on AGN accretion. They predict that below a given luminosity threshold, a wind with a significant column density (NH) can no longer be sustained. In either case, the geometrically and optically thick structure of molecular gas in LLAGNs is expected to disappear.

Observationally, there is an ongoing debate on the existence of an obscuring structure in LLAGNs.7 The non-detection of an IR bump in the spectral energy distributions (SEDs) of LLAGNs (Fernández-Ontiveros et al. 2012) provides evidence for unobscured nuclei, as do the compact variable central UV sources observed in both types of LLAGNs (e.g., Maoz et al. 2005). Furthermore, X-ray studies of nearby galaxies have found a correlation between NH and X-ray luminosity (e.g., Zhang et al. 2009).

However, some LLAGNs do exhibit high NH (e.g., NGC 3169; Terashima & Wilson 2003). The detection of polarized broad lines and ionization bicones in some LLAGNs provides additional support for the presence of an obscuring torus (Barth et al. 1999; Pogge et al. 2000).

In an effort to characterize for the first time the properties of the molecular gas in the central regions of LLAGNs, we have observed three prototypical LINERs/LLAGNs (Table 1) using AO-assisted K-band integral-field spectroscopy. The 2.12 μm H2 1–0 S(1) emission line is used to analyze the two-dimensional (2D) distribution and kinematics of the gas within the central 150 pc. These techniques have already been applied to study the properties of H2 in NGC 1097 (H09; Davies et al. 2009). Here we bring those data together with new data on three additional objects (Sections 2 and 3) to probe the putative obscuring medium in LLAGNs.

Table 1. Summary of Basic Data for LLAGNs and Quantities Derived from the H2 1–0 S(1) Kinematics

Basic Data Global Derived Parameters At r = 25 pc At r = 100 pc
Object AGN Da logLbolb P.A. i R1/e logMBHc logLbol/LEdd V logMdynd log NHe V logMdynf log NHe
Typea (Mpc) (erg s−1) (°) (°) (pc) (M) (M) (cm−2) (M) (cm−2)
NGC 1052 L1.9 18 41.4 30 ± 5 55 ± 4 50 ± 7 8.0+0.2− 0.1 −4.9+0.2− 0.1 1.0 ± 0.3 8.3 ± 0.1 23.2 ± 0.5 4 ± 1.0 8.4+0.2− 0.1 22.1 ± 0.5
NGC 2911 L2 40 42.0 −156+7− 4 57 ± 5 170 ± 15 8.2+0.3− 0.2 −4.5+0.3− 0.2 0.6 ± 0.2 8.6 ± 0.2 23.5 ± 0.5 3 ± 0.7 9.0+0.2− 0.3 22.8 ± 0.5
NGC 3169 L2 20 42.4 47 ± 3 43 ± 6 120 ± 10 7.9+0.2− 0.1 −4.0+0.2− 0.1 0.9 ± 0.3 8.2 ± 0.2 23.1 ± 0.5 7 ± 1.5 8.7+0.3− 0.2 22.5 ± 0.5
NGC 1097 L1 18 41.6 −52 ± 5  42 ± 5  ⋅⋅⋅ 8.1+0.2− 0.2 −4.4+0.2− 0.2 1.2 ± 0.4 8.2 ± 0.2 23.0 ± 0.5 4 ± 1.2 8.9+0.2− 0.2 22.6 ± 0.5

Notes. Quoted uncertainties are 1 standard deviation of the fit, except for NH, which is delimited by the assumed gas fraction interval. aSpectroscopic classification and distance (D) according to Ho et al. (1997), except for NGC 1097 (H09). L2: LINER without a broad Hα line; L1.9: LINER with weak broad Hα emission; L1: LINER with broad components of both Hα and Hβ lines. L2s in the sample show convincing evidence of being LLAGNs. The two have a high brightness-temperature radio core, which is also a hard X-ray point source (Terashima & Wilson 2003; Wrobel et al. 1984; Ellis & O'Sullivan 2006). bBolometric luminosity estimated using the X-ray luminosity as Lbol = 15 L2–10 keV (Ho 2009), except for NGC 1097, which was estimated from the SED analysis (Prieto et al. 2010). X-ray luminosities taken from Ellis & O'Sullivan (2006) and Terashima & Wilson (2003). cBlack hole mass derived from the dynamical models, except for NGC 1097 (Davies et al. 2007). dDynamical mass estimated taking into account the velocity dispersion of the gas as Mdyn = (V2 + 3σ2)r/G, where r is the radius from the nucleus and G is the gravitational constant. eHydrogen column density derived assuming the typical 1%–10% gas mass fraction (this interval corresponds to the lower and upper limits). Quoted values refer to 3.2% gas fraction (see the text for details). fDynamical mass obtained from the kinematic modeling, except for NGC 1097 (H09). This is consistent with the estimate derived taking into account the velocity dispersion at this radius within the uncertainties.

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2. OBSERVATIONS AND DATA PROCESSING

The galaxies analyzed here were observed with AO and SINFONI at the Very Large Telescope (VLT) in two separate runs between 2009 March and 2010 March. SINFONI provides spectra for every pixel in a contiguous 2D field with 64 × 32 pixels (Eisenhauer et al. 2003). The pixel scale in all observations was 0farcs05 × 0farcs1, resulting in a field of view of 3farcs2 × 3farcs2. The spectral range was similar for all runs (1.95–2.45 μm) with typical spectral resolution R ∼ 4000 (FWHM ∼70 km s−1). For each galaxy, the nucleus was used as Natural Guide Star (NGS) by the AO module. The exposure times for NGC 1052, NGC 2911, and NGC 3169 were 180, 20, and 60 minutes, respectively. The FWHM angular resolution, measured from the spatially unresolved non-stellar continuum in K band, is ∼0farcs17 in NGC 1052 and NGC 3169, corresponding to 15 and 16 pc, respectively, and ∼0farcs23 (45 pc) in NGC 2911. Data reduction was performed using the SINFONI data reduction package SPRED (Abuter et al. 2005). Nearby standard stars (A- or B-type) were observed close in time to the science frames and used for telluric correction and flux calibration. In addition, flux calibration was cross-checked with VLT/NACO and Two Micron All Sky Survey photometric data in 1''–4'' apertures.

The resulting spectra show several emission lines of H2 and stellar absorption features (Figure 1). The 2D properties of H2 1–0 S(1) were extracted using the code LINEFIT (Davies et al. 2009). This procedure corrects automatically for instrumental broadening. Typical uncertainties in the kinematic measurements are between 5 and 20 km s−1.

Figure 1.

Figure 1. K-band nuclear spectra of LLAGNs extracted from our SINFONI data in r = 0farcs3 apertures. The prominent emission lines are from H2 (marked at the top of the figure), the strongest being 1–0 S(1) at 2.12 μm. Several stellar absorption features (like the 12CO band heads or NaI), characteristic of evolved stellar populations, are also noticeable. All K-band ionization lines (including Brγ) are absent in these objects. NGC 1097 exhibits a similar spectrum, but Brγ is marginally detected (Davies et al. 2007). Since Brγ is normally considered a tracer of young stars, the marginally/non-detection of this line indicates little (as the very young and compact starburst in NGC 1097; Davies et al. 2007) or no ongoing star formation.

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3. RESULTS AND ANALYSIS

The SINFONI data reveal the morphology and kinematics of the molecular gas in unprecedented detail (Figure 2; see H09 for the maps of NGC 1097). Similar morphologies are observed in the three sample galaxies. The flux distributions show bright central structures with elongations from northeast to southwest and morphologies suggesting filamentary formations. While in NGC 3169 (morphological type S), the photometric P.A. of H2 is similar to the P.A. of the stellar continuum, in NGC 1052 and NGC 2911 (type E4 and S0, respectively), the P.A. of H2 is strongly misaligned (by ∼70°–80°) with that of the stars and the galactic major axis, indicative of an external origin of the gas, probably being acquired through merging, as has been proposed for elliptical galaxies (Morganti et al. 2006).

Figure 2.

Figure 2. Two-dimensional maps of H2 1–0 S(1) flux distribution, LOS velocity, and velocity dispersion (from left to right), for each galaxy observed with SINFONI. Contours delineate the K-band continuum emission. The position of the AGN (the peak of non-stellar continuum at 2.2 μm) is marked with a cross. The dashed line in the middle column shows the orientation of the stellar kinematic major axis measured from the SINFONI data. In all cases, this is consistent with the major axis of the galaxy. The two dashed lines in the dispersion maps delineate approximately the regions where the radio and/or X-ray emission is observed in each galaxy. Rejected pixels in the velocity and dispersion maps are those with a flux density lower than 5% of the peak of H2 emission.

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The velocity fields of H2 exhibit azimuthal symmetry, a zero-velocity axis (or kinematic minor axis) almost perpendicular to the kinematic major axis (which is also the photometric major axis in all cases), and small twists of the isovelocity contours. Taken together, these features provide strong qualitative evidence for rotation in a disk, but with the presence of radial flows in the nuclear region. In NGC 1052 and NGC 2911, the gas has a kinematic major axis that is not aligned with the stellar rotation axis (Figure 2), providing strong support to the hypothesis of an external origin of the molecular gas.

While the H2 velocity fields indicate rotating disks, the dispersion maps suggest that these disks are fairly thin in the outer r > 0farcs4 (σ ∼ 20–30 km s−1), but remarkably thick in the vicinity of the AGN (σ increases up to ∼150 km s−1). In all cases, σ also increases in a direction almost perpendicular to the H2 kinematic major axis (in NGC 3169, this is observed only in the southeast; Figure 2). Our experience with previous integral-field observations of other galaxies reveals that increases in dispersion in particular directions surrounding the AGN are usually related to the presence of a passing radio jet and/or outflows (Müller-Sánchez et al. 2011). Radio and X-ray observations of NGC 1052 and NGC 3169 reveal extended emission in the direction of the enhancements in σ (Kadler et al. 2004; Hummel et al. 1987; Terashima & Wilson 2003). A similar situation is observed in radio maps of NGC 2911 (Wrobel et al. 1984; Condon et al. 1991). Thus, the regions of enhanced σ-values (delineated by dashed lines in the dispersion maps, Figure 2) are probably due to radio jets or AGN-driven outflows.

For quantitative modeling, we adopted an axisymmetric rotating disk generated by the code DYSMAL (as in NGC 1097; Davies et al. 2009, 2011). For determining the disk parameters and their uncertainties, we adopted an exponential mass distribution of outer radius 1farcs6. We then varied inclination, P.A., total mass, black hole (BH) mass, and radial scale length (R1/e) to minimize χ2 in the residual velocity and dispersion maps. The regions perpendicular to the kinematic major axis containing high σ-values (the area inside the dashed lines in the dispersion maps, Figure 2), which are likely of non-gravitational nature, were not included in the fit. The smearing due to the instrumental resolution is taken into account by convolving the inclined model with the Gaussian point-spread function of the appropriate width. Input errors in the χ2 evaluation were the 1σ fit uncertainties of the line profiles. All uncertainties given for the derived parameters are 68% confidence.

The best-fitting models are presented in Table 1 and illustrated with one-dimensional cuts along the kinematic major axis (Figure 3). The models provide a good fit to the observed LOS velocity and σ curves, but the relatively large nuclear dispersion (at r < 0farcs4) cannot be accounted for by the models. The dominant kinematic component in all cases is well described by circular motion. However, the velocity residual maps of NGC 1052 and NGC 2911 show non-circular velocities of up to ∼60 km s−1 within 1farcs5 of the nucleus. Since the purpose of this investigation is to derive the best-fitting velocity field and study the bulk properties of H2, we do not discuss the residuals here (including the regions where the outflows are observed). A detailed analysis of the kinematics in these two galaxies will be presented in another publication. Overall, the observed properties of the nuclear H2 in these LLAGNs indicate a disk-like distribution with significant rotation and high velocity dispersion in the central r < 0farcs4.

Figure 3.

Figure 3. Velocity and dispersion distributions of the molecular gas along the H2 kinematic major axis of the sample galaxies (see H09 for the curves of NGC 1097). Asterisks represent LOS-velocity measurements and open diamonds dispersion values. Continuous curves denote the best-fitting exponential disk model to the velocity data points, and dashed curves the same models but for σ. In all panels, vertical error bars represent 1σ uncertainties in the measurements.

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4. DISCUSSION

On scales of r > 50 pc (∼100 pc in NGC 2911), the properties of the molecular gas are consistent with a thin-disk model (Figure 3). Inside this radius, the dispersion increases faster than the models, and within r < 25 pc (∼50 pc in NGC 2911, but we use 25 pc for comparison purposes), the ratio V/σ is ⩽1, implying that the gas on these scales must be supported by rotation and random motions within a spheroidal structure (e.g., a geometrically thick disk). In addition, the gas in this region is optically thick. From the estimated dynamical masses, and assuming a typical gas fraction (fg) in the centers of galaxies between 1% and 10%8 (H09; Hopkins et al. 2012), we obtain an average NH of 1.7 × 1023 cm−2 (Table 1). In NGC 1052 and NGC 3169, the estimated NH is consistent with that derived from X-ray spectroscopy (Terashima & Wilson 2003; Kadler et al. 2004). Taken together, these characteristics suggest a rotating, geometrically and optically thick disk, and are consistent with those expected for the molecular torus in unification models. A similar conclusion was reached for the nuclear H2 in NGC 1097 (H09). Therefore, we refer to this structure as "large-scale torus," keeping in mind that the obscuring material probed by mid-IR interferometry of Seyferts has a size of a few pc or less (e.g., Jaffe et al. 2004), and that this is likely responsible for other functions such as collimation of ionization cones (Müller-Sánchez et al. 2011). Nevertheless, the contribution of the large-scale torus to AGN obscuration may be considerable, as suggested by current clumpy torus models (e.g., Schartmann et al. 2008).

The large-scale torus in LLAGNs appears to be different from the one in Seyfert galaxies. This conclusion is apparent from the ratio of azimuthally averaged V/σ as function of radius (Figure 4). For comparison purposes, we also plotted the average of this function for six Seyfert and two starburst galaxies observed with SINFONI on the same spatial scales (r ∼ 150 pc). On average, for LLAGNs, V/σ is low (0.8 ± 0.3) at r = 25 pc and high (4.6 ± 1.2) at 100 pc. Thus, random motions are significant within r < 25 pc, despite the rotation of the gas. In contrast, starburst galaxies exhibit a high V/σ at any radius consistent with a thin disk (an almost uniform dispersion map with values <30 km s−1, i.e., no significant thickening at the center), and Seyfert galaxies show low V/σ at radii up to 100 pc, suggesting that the geometrically thick disk in these objects is more extended than in LLAGNs. The obscuration in LLAGNs is probably also lower than in Seyferts. The average 1–0 S(1) luminosity of the LLAGN in our sample within r = 25 pc is ∼1.5 × 104 L, approximately 3.2 times smaller than the average found for Seyfert galaxies (H09). If the H2 luminosity reflects gas mass (rather than differences in excitation), then the LLAGN in our sample have gas masses (and in consequence NH) on average ∼3.2 times smaller than Seyferts (H09). This is consistent with CO measurements of local AGNs (including NGC 1097 and NGC 1052; Raluy et al. 1998; H09), which indicate that there is more gas in the centers of Seyferts than in LLAGNs.

Figure 4.

Figure 4. Azimuthally averaged V/σ vs. radius for each galaxy as indicated by the legend. The dotted horizontal line shows the point where V/σ = 1. The typical error of the V/σ estimates is 35%. The average V/σ as a function of radius was obtained for Seyferts from the data of NGC 3783 and NGC 7469 (H09), NGC 2992 (Friedrich et al. 2010), NGC 6814 (Müller-Sánchez et al. 2011), NGC 1566, and NGC 3081 (this work); and for starburst galaxies from NGC 253 and NGC 4945 (this work).

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Figure 4 clearly shows that the molecular gas in LLAGNs is in an intermediate state between an extended large-scale torus (a thick disk) and no large-scale torus at all (a thin disk). We interpret this structure as a large-scale torus in the process of gradual disappearance. This conclusion is supported by the theory of torus evolution proposed by Vollmer et al. (2008). In this model, a torus passes through three different phases dictated by an external mass accretion rate. Initiated by a massive gas infall, a turbulent thin disk is formed in which starbursts occur. Such disks, characterized by the production of several star clusters and high star formation rates (SFR > 10 M yr−1), are observed in local starburst galaxies (Müller-Sánchez et al. 2010, Figure 4). Once supernovae remove the intercloud medium, a collisional thick disk of dense gas clouds is formed with a decreasing, but still high, accretion rate. The collisional thick disk also forms stars, but with an efficiency of ∼10% when compared to the previous stage (SFR ∼ 1 M yr−1). The Seyferts in the SINFONI subsample (Figure 4) are interpreted to be in this second phase (H09). The mass inflow rate is slowly decreasing, and the collisional disk is gradually transitioning to become geometrically thin. The SFR reaches a minimum, and the nuclear region is dominated by intermediate-age/old stellar populations. Based on the observed properties, the LLAGN in our sample are in this transitional phase (Figures 1 and 4). When the inflow rate has significantly decreased, the collisional torus either completely disappears (there is very little gas left) or becomes thin and transparent as the circumnuclear disk in the Galactic Center.

The proposed scenario reveals a possible Starburst → Seyfert → LINER/HII → LINER → Passive Galaxies evolutionary sequence of AGN activity and BH growth. The initial phase of activity of a galactic nucleus is characterized by vigorous star formation. After ∼10 Myr, significant accretion onto the BH triggers the Seyfert phase. This highly active phase may be modulated by feeding and feedback processes. The final stages of accretion are observed in LINERs, in which massive BHs have already formed. This picture is supported by recent observational studies of local galactic nuclei (e.g., Constantin et al. 2009; Schawinski et al. 2010), and numerical simulations of the origin and evolution of luminous AGNs (e.g., Di Matteo et al. 2005; Hopkins et al. 2006).

The kinematic signatures of outflows detected in the dispersion maps suggest that a disk wind may still be present. In the wind scenario, the main channel for release of energy may be switching at low luminosities from AGN-driven outflow to radio jets. Thus, the regions in which we detect high σ could be interpreted as gas from the Interstellar Medium (ISM) shocked by a radio jet. However, it seems unlikely that this mechanism is also responsible for the high dispersion measured in the central 50 pc (at least not in its most part). First, the circular symmetry of these regions (extending out to r ∼ 25–50 pc) is not consistent with that expected from a collimated jet. In addition, in some objects, there is no clear evidence of a radio jet (e.g., NGC 1097; Orienti & Prieto 2010), and yet a low V/σ is observed (Figure 4). Although a contribution from the disk wind to the large-scale torus seems unlikely, it could significantly contribute to sustain any smaller scale torus (the threshold for an MBH = 1 × 108 M is Lbol ≳ 2 × 1040 erg s−1; Elitzur & Ho 2009). The dust sublimation radius in LLAGNs with Lbol = 1042 erg s−1 is rsub = 0.4(Lbol/1045)1/2 pc ∼0.012 pc (Nenkova et al. 2008). The outer radius of the "small-scale" torus is then R = 50–100 rsub = 0.6–1.2 pc (Tristram & Schartmann 2011), which, at our resolution, is unresolved. These results suggest that the torus comprises at least two components on different scales each of which fulfills different roles. On scales of ∼15 pc and larger, our results reveal a diffuse and clumpy envelope which represents the reservoir of gas necessary to feed the AGN, and possibly contributes to nuclear obscuration. At smaller scales, IR interferometry provides evidence for a compact torus which is likely responsible for most of the obscuration and collimation.

Our integral-field data confirm the presence of an obscuring structure of molecular gas in the central 50 pc of LLAGNs, which indicates that in these objects there is potentially enough material to fuel the AGN. However, it appears to be disappearing as indicated by the lower column densities and sizes compared with those of Seyfert galaxies. Particularly interesting would be a study of the gas kinematics in AGNs having lower luminosities and/or Eddington ratios than the ones presented here. In these objects, either there is no detectable nuclear warm-H2 structure (as in M87 and some other LLAGNs observed with AO; Gebhardt et al. 2011; A. Barth, private communication) or it is thin and transparent as predicted by the torus evolution model (Vollmer et al. 2008).

We thank the staff of ESO for their support, Aaron Barth for helpful discussions, and the anonymous referee for useful comments. We acknowledge financial support from CONACYT and COST Action MP0905 Black Holes in a Violent Universe.

Footnotes

  • Based on observations at the European Southern Observatory VLT (082.B-0709 and 084.B-0568).

  • The bulk of the LLAGN population reside in low-ionization nuclear emission-line regions (LINERs; Ho 2008). Since the bolometric luminosity threshold for separating low- and high-luminosity AGNs is roughly defined as a few 1042 erg s−1 (Ho 2009), some LLAGNs reside in Seyfert galaxies. Strictly speaking, we study LINERs/LLAGNs here, but refer to them as LLAGNs.

  • The gas mass can also be estimated from the luminosity of 1–0 S(1) using an appropriate conversion factor (Müller-Sánchez et al. 2006). We used the same factor as H09 of 430 M/L (which gives fg ∼ 10% for Seyferts), and derived an average fg ∼ 3.2% in the central 50 pc of our sample of LLAGNs. This is the value used throughout the paper. CO measurements of LLAGNs also suggest fg of a few percent (Raluy et al. 1998; Tan et al. 2008).

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10.1088/2041-8205/763/1/L1