We put forward a conjecture that for a special class of models – models of the double-trace deformation and brane-induced gravity types – the principle of holographic dualitiy can be extended beyond conformal invariance and anti-de Sitter (AdS) isometry. Such an extension is based on a special relation between functional determinants of the operators acting in the bulk and on the boundary.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. M. Maldacena, Adv. Theor. Math. Phys., 2, 231–252 (1998).
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett.. B428, 105–114 (1998).
E. Witten, Adv. Theor. Math. Phys., 2, 253–291 (1998).
I. R. Klebanov and A. M. Polyakov, Phys. Lett., B550, 213–219 (2002).
S. Giombi and I. R. Klebanov, J. High Energy Phys., No. 12, 068 (2013).
S. Giombi, I. R. Klebanov, and B. R. Safdi, Phys. Rev., D89, 084004 (2014).
S. Giombi, I. R. Klebanov, and A. A. Tseytlin, Phys. Rev., D90, 024048 (2014).
S. Giombi, I. R. Klebanov, S. S. Pufu, et al., J. High Energy Phys., No. 10, 016 (2013).
A. A. Tseytlin, Nucl. Phys., B877, 598–631 (2013).
E. Witten, arXiv:hep-th/0112258 (2001).
S. S. Gubser and I. R. Klebanov, Nucl. Phys., B656, 23 (2003).
A. O. Barvinsky and D. V. Nesterov, Phys. Rev., D73, 066012 (2006).
A. O. Barvinsky, Phys. Rev., D74, 084033 (2006).
D. E. Diaz and H. Dorn, J. High Energy Phys., No. 05, 046 (2007).
T. Hartman and L. Rastelli, J. High Energy Phys., No. 01, 019 (2008).
A. O. Barvinsky and A. Yu. Kamenshchik, J. Cosmol. Astrop. Phys., No. 09, 014 (2006).
A. O. Barvinsky, Phys. Rev. Lett., 99, 071301 (2007).
A. O. Barvinsky, C. Deffayet, and A. Yu. Kamenshchik, J. Cosmol Astrop. Phys., No. 05, 02001.2063 (2008); ibid., No. 05, 034 (2010).
C. Fronsdal, Phys. Rev., D18, 3624 (1978).
I. L. Buchbinder, A. Pashnev, and M. Tsulaia, Phys. Lett., B523, 338 (2001).
A. O. Barvinsky, A. Yu. Kamenshchik, and D. V. Nesterov, Eur. Phys. J., C75, 12 (2015); J. Cosmol. Astrop. Phys., No. 01, 036 (2016).
L. Randall and S. Sundrum, Phys. Rev. Lett., 83, 4690–4693 (1999).
G. R. Dvali, G. Gabadadze, and M. Porrati, Phys. Lett., B485, 208–214 (2000).
W. Kummer and D. V. Vassilevich, J. High Energy Phys., No. 07, 012 (2000).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 55–62, November, 2016.
Rights and permissions
About this article
Cite this article
Barvinsky, A.O. Extended Holography: Double-Trace Deformation and Brane-Induced Gravity Models. Russ Phys J 59, 1788–1797 (2017). https://doi.org/10.1007/s11182-017-0977-y
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11182-017-0977-y