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.
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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).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 55–62, November, 2016.
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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
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DOI: https://doi.org/10.1007/s11182-017-0977-y