An Examination of the Very First Polarimetric X-ray Observations of Radio-Quiet Active Galactic Nuclei

: Active galactic nuclei (AGNs), either radio-quiet or radio-loud, had never been observed in X-ray polarized light until the advent of the Imaging X-ray Polarimetry Explorer (IXPE) in the end of 2021. This satellite opened a new observational window for studying supermassive black holes and their complex environment. In this regard, radio-quiet AGNs are probably better targets than radio-loud objects to probe accretion processes due to the lack of synchrotron emission from jets that can dilute the polarized signal from the central engine. Their relatively clean environment not only allows to detect and measure the X-ray polarization originating from the hot corona responsible for X-ray emission, but also to assess the geometry of the media immediately surrounding the supermassive black hole. Such geometrical measurements work just as well for characterizing the corona morphology in pole-on AGNs as it does for determining the three-dimensional shape of the circumnuclear cold obscurer (the so-called torus) in edge-on AGNs. In this review paper, we will return to each of the observations made by IXPE so far in the field of radio-quiet AGNs and highlight the fundamental contribution of X-ray polarimetry to our understanding of how light is emitted and how matter is shaped around supermassive black holes.


Introduction
Observing active galactic nuclei (AGNs) in X-rays is a critical aspect of modern astrophysics, providing insights into some of the universe's most energetic phenomena.AGNs, powered by accretion onto supermassive black holes, emit across the electromagnetic spectrum, but X-ray observations are particularly valuable since, in the case of thermally dominated AGNs (i.e., where the jet emission is subdominant with respect to the accretion disk emission), such high energy emission only comes from the immediate vicinity of the black hole.The region responsible for it, the X-ray corona, is pictured as a hot, diffuse region close to the potential well, but its size, shape, location, and origin remain unclear [1][2][3].
The most accepted scenario to explain the X-ray emission from coronae is that ultraviolet photons, thermally emitted by the accretion disk, are up-scattered by the electrons in the corona [4].The resulting X-ray photons we measure are emitted towards the observer or relativistically bent towards the disk surface, where they are reflected back to the observer.The reflected X-ray spectrum we observe then consists of fluorescence lines, including a prominent ∼6.4 keV iron Kα line and a broad Compton hump peaking at ∼20-30 keV, that relativistic effects asymmetrically smear [5].The scattered photons can be highly polarized whereas the fluorescence lines are unpolarized [6], making X-ray polarimetric measurements a gold mine for discoveries about emission and diffusion near potential wells.
Probing the corona is feasible if the AGN has a favorable pole-on (type-1 throughout this entire article, we will refer to pole-on AGNs as type-1s following the optical classification, where the broad line emission region is directly visible.Likewise, if the region responsible for the optical broad lines is hidden behind the circumnuclear material, we will refer to those AGNs as edge-on, type-2 objects.)inclination, but in the case of edge-on (type-2) objects, the observer's line-of-sight is intercepted by a thick circumnuclear structure made of dust and gas.In this case, X-rays, with their high penetrating power, interact with these dense regions and allow us to study both the properties of the obscured AGN and the intervening material.This capability is vital for understanding the demographics and evolution of AGNs, as type-2 AGNs constitute a significant portion of the AGN population [7].
By probing the X-ray emissions from AGNs, we can gain deeper insights into the fundamental physical conditions and processes near supermassive black holes.This includes determining the nature of the X-ray corona, exploring the effects of relativistic phenomena, and understanding the composition and behavior of obscuring materials in type-2 AGNs [8].These studies are pivotal for constructing a comprehensive picture of AGN activity and its impact on the host galaxies and the broader cosmic environment.Great advances were achieved thanks to X-ray spectroscopy and timing analyses [9], but X-ray polarization observations can provide an additional, powerful tool for probing the unknowns of the X-ray corona and the obscuring material in AGNs.Polarization offers a complementary perspectives by measuring the orientation and degree of the X-ray emissions' polarization.This can yield crucial information about the geometry and physical conditions of the emitting and scattering regions.
In this review paper, we will examine all the radio-quiet AGNs observed so far thanks to the first X-ray polarimeter which is sufficiently sensitive to extra-galactic objects.We will demonstrate why polarimetric measurements at high energies are crucial for studying energy transport and radiation processes around supermassive black holes.Section 2 will focus on type-1 AGNs, where the X-ray corona is directly accessible to the observer.Section 3 will summarize the findings about type-2 AGNs, where the central source is obscured by dust and gas.Only Compton-thick sources, i.e., in which the X-ray spectrum is dominated by reflection, will be presented, since IXPE did not observe any Compton-thin type-2 AGNs yet.Section 4 will allow us to put the results obtained between 2021 and 2024 in perspective and we will conclude our review in Section 5. Throughout this paper, we define P as the linear polarization degree and Ψ as the electric vector polarization position angle.

Type-1 AGNs: Probing the X-ray Corona
Polarization measurements are particularly valuable in constraining the geometry of the X-ray corona.Theoretical models predict that different configurations of the coronasuch as slab-like, spherical, or patchy distributions-will produce distinct polarization signatures [4,[10][11][12][13].For example, horizontally extended coronae are expected to show vertical polarization position angles (parallel to the jet position angle, if any), while their polarization degree is expected to increase with asymmetry (and therefore with viewer inclination).Therefore, by measuring the polarization of X-rays emitted from the corona, we can discern its shape and structure, which is otherwise challenging to determine [14].This information is critical for understanding how the corona interacts with the accretion disk and contributes to the overall emission profile of the AGN.
Furthermore, X-ray polarization can shed light on the location of the corona relative to the black hole and accretion disk.Variations in polarization with energy (and time) can reveal the location (and the evolution) of the corona, providing (dynamic) insights into how energy is transported and dissipated in the vicinity of the black hole [15,16].These measurements can help refine the models of coronal heating and cooling processes, and the mechanisms by which the corona is maintained.
For those reasons, IXPE was pointed towards three distinct radio-quiet type-1 AGNs during its first two years of operation.We will now briefly describe each observation (see Table 1 for all important quantities regarding those AGNs) and the constraints obtained from them.MCG-05-23-16 is a nearby [17]), relatively bright [18]) and moderately absorbed Seyfert 1.9 galaxy (see Table 1 for the related quantities).In recent decades, extensive observations in the X-rays led to a well-determined shape of the primary continuum, with a variable spectral index and a high energy cut-off [19].The associated coronal parameters have also been inferred in multiple geometrical configurations with several Comptonization models.X-ray polarization, in this context, offers the opportunity of revealing the geometry of the scattering hot corona.Spectral features ascribed to reflection off the accretion disk and distant, cold materials are also present in the X-ray spectrum of MCG-05-23-16 and they have been found to be rather stable throughout the years ( [20] and references therein).The source was therefore observed by IXPE in May and in November 2022 for a total net exposure time of 1.13 Ms, partly simultaneously with XMM-Newton and NuSTAR to separate and characterize the different spectral features [21,22].
The analysis of the combined IXPE, XMM-Newton, and NuSTAR data confirmed the presence of three spectral components: relativistic ionized reflection from the accretion disk, neutral reflection from distant material and a cutoff power law, which contributes ∼95% of the total 2-8 keV flux.The combined May and November IXPE observations provided an upper limit P = 3.2% to the polarization degree (at 99% of confidence level on one-single parameter).The contour plot between the polarization degree P and the polarization angle Ψ is shown in Figure 1 (orange contours).Hints of an alignment between Ψ and the position angle of the [OIII] emission are present (∼ 40 • , associated to the narrow line region and assumed to be aligned with the accretion disk axis [23]).The comparison between IXPE data and numerical simulations obtained with the Monte Carlo code MONK [24] in different geometries led to the inclination angle of the source (i <40 • ), in good agreement with the one estimated via the modeling of the broad iron Kα profile (i = 32 • -51 • : [20]).Among the several geometrical configurations tested, the conical outflow scenario was ruled out.

IC 4329A
IC 4329A is a nearby type-1.2Seyfert galaxy and one of the brightest AGNs in the X-ray sky [25][26][27][28] (see Table 1 for the related quantities).The host galaxy appears edge-on, with optical images clearly showing that the dust lane associated with the galaxy's spiral arms cuts across our view of the nucleus [29].Since the type-1.2classification implies that we observe the AGN from a rather low inclination, it would indicate that the AGN torus might be misaligned with the galaxy rotation axis.
IXPE observed IC 4329A on 5-15 January 2023 for an exposure time of 458 ks [30] (ObsID 01003601).The observation was supported by XMM-Newton (11-12 January) and NuSTAR (11-13 January) exposures, which indicated that the X-ray continuum had a spectral index Γ ≈ 1.7 and electron temperature kT e ≈ 40 keV, consistent with earlier observations [28,31].IXPE detected polarization in the 2-8 keV band with 2.97σ confidence (98.78% confidence for two parameters of interest), with a polarization degree P = 3.3% ± 1.1% and a polarization angle Ψ = 78 • ± 10 • (uncertainties are 1σ for a single parameter of interest).The contour plots of P and Ψ are shown in Figure 1 (blue).The polarization angle is consistent with the jet position angle inferred from a September 2021 ALMA observation.
Detailed spectral analysis confirmed the presence of a directly observed coronal component, a relativistic reflector and a distant reflector.The direct continuum contributes ≈ 66% of the 2-8 keV flux, the relativistic reflector contributes ≈ 33%, and the distant reflector ≈ 1%.A joint IXPE/XMM/NuSTAR spectro-polarimetric analysis indicates that the polarization of the direct continuum component aligns with the overall 2-8 keV polarization, whereas the polarization of the relativistic reflector is unconstrained [30].It was concluded that the polarization of the corona is consistent with being aligned with the jet, and thus, that the corona most likely extends in the disk plane perpendicular to the jet.Constraints from the relativistic reflector point to a reasonably low viewer inclination (i < 39 • with 99% confidence) is in mild tension with the reasonably high best fitting polarization degree of P = 3.3 ± 1.1%.

NGC 4151
NGC 4151 is one of the brightest Seyfert galaxies in the local universe [32] and it has the particular feature of changing its optical type as a function of its flux, something that is quite challenging for the unified model of AGNs.It is known to go from optical type 1.5 at high flux states (up to F 2−10 keV ∼ 3× 10 −10 erg s −1 cm −2 ) to optical type 1.8 at low fluxes states (F 2−10 keV ∼ 5× 10 −11 erg s −1 cm −2 ; see [33,34]).Intensively observed by all major X-ray satellites, the AGN shows significant spectral variability and complex absorption structures (involving combinations of neutral and ionized absorbers, see, e.g., [35][36][37] and Table 1).NGC 4151 shows mixed evidence for the relativistic reflection off the inner accretion disk (e.g., [36,37]) and a non-relativistic jet (e.g., [38]).Identified as a high priority target for IXPE in its first year of operations, it was observed in December 2022 (ObsID 02003101), simultaneously to NuSTAR and XMM observations, to constrain the geometry of its hot coronal environment.
From the IXPE observation, NGC 4151 showed P = 4.9% ± 1.1% and Ψ = 86 • ± 7 • in the 2-8 keV energy range (see Figure 1 red contours), corresponding to a ∼4.4σ significance based on a model-independent polarization analysis [37].Energy-resolved polarization analysis indicated statistically significant polarization variations with energy, showing P = 4.3% ± 1.6% and Ψ = 42 • ± 11 • in the 2-3.5 keV soft energy range, differing from measurements in the other energy ranges.With a spectro-polarimetric analysis, accounting for polarization dilution in the soft energy regime and setting the polarization angle of the primary emission and reflection emission components as perpendicular, the primary emission component was measured with P = 7.7% ± 1.5% and Ψ = 87 • ± 6 • .For the reflection component, an upper limit of P < 27% was derived.The measured polarization angle of the primary component aligns with the direction of NGC 4151's radio jet feature previously obtained by VLBI observations, ∼83 • [39][40][41].Therefore, this result disfavors the lamppost and conical geometry scenarios among the proposed coronal geometries and suggests slab-or wedge-like geometries.Additionally, the observed polarization angle in the soft energy band is similar to that of the projected angle of the extended narrow-line region (NLR), 45 • ± 5 • , confirmed by HST [42,43] and supported by Chandra observations [44], suggesting that a new emission component may influence the X-ray polarization, requiring further observations for confirmation.
Currently, the source has been selected for a second observation during the 1st cycle of the IXPE General Observer program.Such observations could help us better understand what drives the change of optical type as a function of the AGN flux, especially if significant variations in P are detected between the first and second IXPE observations.

Type-2 AGNs: The Shape of the Equatorial Obscurer
In the context of type-2 AGNs, X-ray polarization is a key diagnostic for investigating the properties of the obscuring material.The polarization of X-rays scattered by the cold component (the dusty torus) or other intervening structures (such as the polar windsthe warm component) can reveal the composition and three-dimensional distribution of these materials.For instance, the scattered X-rays degree of polarization can help infer the geometry and orientation of the cold component, while variations in polarization across different time bins can map the clumpiness of the obscuring material [45,46].This information is vital for understanding the nature of the obscurer and its impact on the observed properties of AGNs.
Moreover, polarization measurements can distinguish between the different scattering and absorption processes that occur within the obscuring material.By analyzing the polarization degree and angle, we can infer whether the X-rays are predominantly absorbed by neutral atoms, ionized gas, or dust, and how these components are distributed around the AGN [47].This can provide insights into the physical and chemical conditions within the obscuring structures, and how they evolve over cosmological time.
Because type-2 AGNs are less bright than type-1s in X-rays, IXPE was only pointed twice towards type-2 objects.We will now briefly describe each observation and the constraints obtained from them.

The Circinus Galaxy
The Circinus galaxy is the X-ray brightest Compton-thick AGN, which is situated in the nearby Universe [48] and it is the first one of its class observed by IXPE.The primary X-ray emission of this source is obscured by a large column density [49] (see Table 1 for the related quantities).The X-ray spectrum in the IXPE energy band is known to be dominated by two emission components: warm reflection from the ionized, optically thin matter, and cold reflection from the optically thick torus.Several spectral features are observed, including a strong iron Kα emission line and many other lines from lighter elements [50][51][52].Optical and radio observations show the clear presence of [O III] ionization cones [53] and a radio jet [54,55].Very long baseline interferometry observations of the 1.3 cm water maser emission indicate that the accretion disk is warped and seen edge-on [56].
The Circinus galaxy was observed by IXPE for a net exposure time of 771.5 ks, starting from 12 July 2022 (ObsID 01003501).IXPE measured a 2-6 keV polarization degree P of 20.0% ± 3.8%, with a polarization angle Ψ of 19.1 • ± 5.5 • [57] (see Figure 1, violet contours).The polarization angle is perpendicular to the position angle of the radio jet, and compatible with the direction of the inner water maser disk.In the 6-8 keV band, the polarization is not significantly detected, very likely because of the dilution by the unpolarized fluorescent iron lines.To assess the contribution of the ultraluminous X-ray (ULX) sources in the Circinus field [58], two 10-ks Chandra observations were also performed, at the beginning and end of the IXPE exposure (ObsIDs 25365 and 25366).However, the ULXs are definitely subdominant in the IXPE bandpass.The warm reflector gives a relatively low contribution to the flux in the IXPE band, and thus its polarization is not well constrained.On the other hand, the spectro-polarimetric fit of IXPE and Chandra data indicates that the cold reflector has a polarization degree of 28% ± 7% [57].
The main conclusion is thus that the cold reflector produces a high polarization, perpendicular to the symmetry axis of the system (here traced by the radio jet).This reflector can be readily identified as the pc-scale torus predicted by unification models.With this assumption, dedicated numerical simulations [59,60] show that the torus should have an opening angle of 45°-55° [57].However, this is not the only possible scenario.For example, the IXPE results can also be explained by Compton scattering off a sub-parsecscale radiation-driven "fountain" [61]; in this case, the origin of the X-ray polarization would be a dusty outflow inside 0.01 pc [62].

NGC 1068
NGC 1068 is probably one of the most famous type-2 radio-quiet AGNs.It is both optically bright (V = 11.8 mag in a 4.9 ′′ aperture) and located in the nearby Universe [63], making it an ideal target for AGN observations (see Table 1 for the related quantities).NGC 1068 is the first non-jetted AGN in which polarized broad lines were discovered in its polarized optical flux spectrum [64], paving the way for the unified scheme of AGNs and the understanding that, at least at the zeroth-order, type-1 and type-2 AGNs are similar: most of their apparent observational properties can be explained by an orientation effect [65].
NGC 1068 is a Compton-thick type-2 Seyfert galaxy, similarly to the Circinus galaxy, so high polarization degrees were expected from reprocessing onto the cold and/or warm components based on optical/ultraviolet data [47].To probe the dense environment around the core of NGC 1068, IXPE was pointed towards this target for a net exposure time of 1.15 Ms between the 3 January and 29 January 2024 (ObsID 02008001).The satellite measured a 2-8 keV polarization degree of P = 12.4% ± 3.6% at an angle of Ψ = 100.7 • ± 8.3 • [66] (see Figure 1, green contours).The observed X-ray polarization angle is found to be perpendicular to the radio structure axis, as in the optical band, implying that the observed X-ray polarization arises from scattering onto material that is preferentially situated well above the equatorial plane.
In addition to the polarimetric observation, two ∼10 ks Chandra snapshots were acquired at the beginning and at the end of the IXPE pointings, on 4 January 2024 (ObsID 29071) and on 28 January 2024 (ObsID 29072), with the Chandra's Advanced CCD Imaging Spectrometer.Thanks to the Chandra data, the contribution of the ULXs could be accounted for in a joint IXPE+Chandra spectral analysis.Unfortunately, the IXPE observation had not enough counts/statistics to remove the degeneracy among the polarization parameters of the warm and cold reflectors in the spectral decomposition, so a torus inclination and half-opening angle could not be immediately deduced.Building on the hypothesis that the warm component polarization is quantitatively similar to the polarization observed in the far-ultraviolet [47,67] and that electron scattering dominates in the wind [67], a putative value for the intrinsic polarization of the cold component could be estimated.From such value, numerical simulations predict a probable torus half-opening angle of 50-55 • (from the vertical axis of the system).Interestingly, this range of torus half-opening angles is quite similar to the one derived for the Circinus galaxy (see Section 3.1).

Discussion
The first two years of IXPE operation provided us with revolutionary results.In the field of radio-quiet AGNs, five different sources have been observed, with MCG-05-23-16 observed twice.Three were type-1 AGNs, two were type-2s.Figures 1 and 2 show the observed X-ray polarization (in degree and angle) and the required IXPE observing time as a function of the source total flux, respectively.One can see that the 68% confidence contours are quite large despite the hundreds of kiloseconds obtained per target.This highlights the fact that the X-ray polarimetry of radio-quiet AGNs is challenging, but rewarding.In the case of type-1 AGNs, if only one solid could have been obtained in the case of NGC 4151, it provided an indisputable evidence that the X-ray corona is lying along the equatorial plane.The results obtained for the two other sources, while with less confidence, point towards the same direction.The results obtained in the case of X-ray binaries in the hard state also corroborate this geometrical setup [68].This has a profound impact on our conception of the high-energy generation mechanism around black holes, since an equatorial corona can sandwich the accretion disk, like an atmosphere, or can be located beyond the truncation of the internal radius of the accretion disk.Those geometrical configurations will produce different time-lags than in the case of a lamppost corona, leading to new simulations and interpretations of the temporal variation of the X-ray continuum and fluorescence emission in AGNs.
Results obtained in the case of type-2 Seyfert galaxies also point towards a shared conclusion: the half-opening angle of the cold obscurer is probably around 45-55 • from the vertical axis of the system, at least in those two systems.This is very different to what has been inferred from radio and infrared studies, where the equatorial obscurer is found to be rather geometrically thin [69][70][71].This discrepancy is yet to be explained thanks to deeper Circinus and NGC 1068 IXPE observations, as well as the X-ray polarimetry of new type-2 targets.

Conclusions
X-ray polarization observations offer a unique and powerful means to unravel the complexities of the X-ray corona and the obscuring material in AGNs.By providing detailed information on the geometry, location, and composition of these regions, polarization studies enhance our understanding of the central engines of AGNs and their environments.This, in turn, contributes to a more comprehensive picture of AGNs activity and their role in the evolution of galaxies and the universe.

Figure 1 .
Figure 1.Summary of polarimetric measurements obtained by IXPE in the case of radio-quiet AGNs using contour plots (68-90-99% confidence levels for two degrees of freedom).All spectropolarimetric fits have been performed using weighted data.The polarization degree and the polarization angle are integrated over the whole 2-8 keV band.The figure on the right is a zoomed-in view of the central region of the left figure for clarity purposes.

Figure 2 .
Figure 2. The IXPE observation time as a function of the source total flux (in the 2-8 keV band).Each target has been labeled.

Table 1 .
AGNs observed during the first two years of IXPE operation.Their name, redshift z, distance d, optical type, 2-10 keV flux, intrinsic hydrogen column density n H , power-law index Γ, corona electron temperature E C , and black hole mass are reported from the literature. 2.1.MCG-05-23-16