2000 character limit reached
Quantum backreactions in (A)dS3 massive gravity and logarithmic asymptotic behavior (2404.10127v1)
Published 15 Apr 2024 in hep-th and gr-qc
Abstract: We study the interplay between higher curvature terms and the backreaction of quantum fluctuations in 3-dimensional massive gravity in asymptotically (Anti-)de Sitter space. We focus on the theory at the special point of the parameter space where the two maximally symmetric vacua coincide. In the case of positive cosmological constant, this corresponds to the partially massless point, at which the classical theory admits de Sitter black holes and exhibits an extra conformal symmetry at linear level. We explicitly find the quantum corrected black hole geometry in the semiclassical approximation and show that it induces a relaxation of the standard asymptotic conditions. Nonetheless, the new asymptotic behavior is still preserved by an infinite-dimensional algebra, which, in addition to Virasoro, contains logarithmic supertranslations. Finally, we show that all the results we obtain for the quadratic massive gravity theory can be extended to theories including cubic and quartic terms in the curvature.
- J. D. Brown and M. Henneaux, “Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity,” Commun. Math. Phys. 104, 207-226 (1986).
- A. Maloney, W. Song and A. Strominger, “Chiral Gravity, Log Gravity and Extremal CFT,” Phys. Rev. D 81, 064007 (2010) [arXiv:0903.4573 [hep-th]].
- E. A. Bergshoeff, O. Hohm and P. K. Townsend, “Massive Gravity in Three Dimensions,” Phys. Rev. Lett. 102, 201301 (2009) [arXiv:0901.1766 [hep-th]].
- E. A. Bergshoeff, O. Hohm and P. K. Townsend, “More on Massive 3D Gravity,” Phys. Rev. D 79, 124042 (2009) [arXiv:0905.1259 [hep-th]].
- J. Oliva, D. Tempo and R. Troncoso, “Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity,” JHEP 07, 011 (2009) [arXiv:0905.1545 [hep-th]].
- G. Gabadadze, G. Giribet and A. Iglesias, “New Massive Gravity on de Sitter Space and Black Holes at the Special Point,” [arXiv:1212.6279 [hep-th]].
- S. de Buyl, S. Detournay, G. Giribet and G. S. Ng, “Baby de Sitter black holes and dS33{}_{3}start_FLOATSUBSCRIPT 3 end_FLOATSUBSCRIPT/CFT22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPT,” JHEP 02, 020 (2014) [arXiv:1308.5569 [hep-th]].
- G. Giribet, J. Oliva, D. Tempo and R. Troncoso, “Microscopic entropy of the three-dimensional rotating black hole of BHT massive gravity,” Phys. Rev. D 80, 124046 (2009) [arXiv:0909.2564 [hep-th]].
- M. Chernicoff, G. Giribet, J. Moreno, J. Oliva, R. Rojas, C. Ramirez de Arellano Torres, “Higher-curvature gravity in AdS33{}_{3}start_FLOATSUBSCRIPT 3 end_FLOATSUBSCRIPT, holographic c𝑐citalic_c-theorems and black hole microstates,” to appear.
- C. Martinez and J. Zanelli, “Back reaction of a conformal field on a three-dimensional black hole,” Phys. Rev. D 55, 3642-3646 (1997) [arXiv:gr-qc/9610050 [gr-qc]].
- M. Casals, A. Fabbri, C. Martínez and J. Zanelli, “Quantum dress for a naked singularity,” Phys. Lett. B 760, 244-248 (2016) [arXiv:1605.06078 [hep-th]].
- M. Casals, A. Fabbri, C. Martínez and J. Zanelli, “Quantum Backreaction on Three-Dimensional Black Holes and Naked Singularities,” Phys. Rev. Lett. 118, no.13, 131102 (2017) [arXiv:1608.05366 [gr-qc]].
- M. Casals, A. Fabbri, C. Martínez and J. Zanelli, “Quantum fields as Cosmic Censors in (2+1)21(2+1)( 2 + 1 )-dimensions,” Int. J. Mod. Phys. D 27, no.11, 1843011 (2018)
- M. Casals, A. Fabbri, C. Martínez and J. Zanelli, “Quantum-corrected rotating black holes and naked singularities in ( 2+1 ) dimensions,” Phys. Rev. D 99, no.10, 104023 (2019) [arXiv:1902.01583 [hep-th]].
- R. Emparan, A. M. Frassino and B. Way, “Quantum BTZ black hole,” JHEP 11, 137 (2020) [arXiv:2007.15999 [hep-th]].
- R. Emparan and M. Tomašević, “Strong cosmic censorship in the BTZ black hole,” JHEP 06, 038 (2020) [arXiv:2002.02083 [hep-th]].
- R. Emparan, J. F. Pedraza, A. Svesko, M. Tomašević and M. R. Visser, “Black holes in dS33{}_{3}start_FLOATSUBSCRIPT 3 end_FLOATSUBSCRIPT,” JHEP 11, 073 (2022) [arXiv:2207.03302 [hep-th]].
- M. Bañados, C. Teitelboim and J. Zanelli, “The Black hole in three-dimensional space-time,” Phys. Rev. Lett. 69, 1849-1851 (1992) [arXiv:hep-th/9204099 [hep-th]].
- M. Bañados, M. Henneaux, C. Teitelboim and J. Zanelli, “Geometry of the (2+1) black hole,” Phys. Rev. D 48, 1506-1525 (1993) [erratum: Phys. Rev. D 88, 069902 (2013)] [arXiv:gr-qc/9302012 [gr-qc]].
- J. Oliva, D. Tempo and R. Troncoso, “Static spherically symmetric solutions for conformal gravity in three dimensions,” Int. J. Mod. Phys. A 24, 1588-1592 (2009) [arXiv:0905.1510 [hep-th]].
- G. Giribet, A. Goya and M. Leston, “Boundary stress tensor and asymptotically AdS3 non-Einstein spaces at the chiral point,” Phys. Rev. D 84, 066003 (2011) [arXiv:1108.0400 [hep-th]].
- E. Ayon-Beato, G. Giribet and M. Hassaine, “Bending AdS Waves with New Massive Gravity,” JHEP 05, 029 (2009) [arXiv:0904.0668 [hep-th]].
- L. Donnay, G. Giribet and J. Oliva, “Horizon symmetries and hairy black holes in AdS,” JHEP 09, 120 (2020) [arXiv:2007.08422 [hep-th]].
- O. Fuentealba, M. Henneaux and C. Troessaert, “Logarithmic supertranslations and supertranslation-invariant Lorentz charges,” JHEP 02, 248 (2023) [arXiv:2211.10941 [hep-th]].
- M. F. Paulos, “New massive gravity extended with an arbitrary number of curvature corrections,” Phys. Rev. D 82, 084042 (2010) [arXiv:1005.1646 [hep-th]].
- A. Sinha, “On the new massive gravity and AdS/CFT,” JHEP 06, 061 (2010) [arXiv:1003.0683 [hep-th]].