Abstract
We analyze AdS5 black holes that are nearly supersymmetric. They depart from the BPS limit in two distinct ways: a temperature takes them above extremality and a potential maintains extremality but violates a certain constraint. We study the thermodynamics of these deformations and their interplay in detail. We discuss recent microscopic computations of BPS black hole entropy in \( \mathcal{N} \) = 4 SYM and generalize the arguments to the nearBPS regime by relaxing constraints imposed by supersymmetry. Our methods recover gravitational results from microscopic theory also for nearBPS black holes.
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References
A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy, Phys. Lett. B 379 (1996) 99 [hep-th/9601029] [INSPIRE].
F. Benini, K. Hristov and A. Zaffaroni, Black hole microstates in AdS4 from supersymmetric localization, JHEP 05 (2016) 054 [arXiv:1511.04085] [INSPIRE].
S. Sachdev and J. Ye, Gapless spin fluid ground state in a random, quantum Heisenberg magnet, Phys. Rev. Lett. 70 (1993) 3339 [cond-mat/9212030] [INSPIRE].
A. Kitaev, A simple model of quantum holography, http://online.kitp.ucsb.edu/online/entangled15/.
J. Maldacena, D. Stanford and Z. Yang, Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space, PTEP 2016 (2016) 12C104 [arXiv:1606.01857] [INSPIRE].
P. Gao, D.L. Jafferis and A.C. Wall, Traversable Wormholes via a Double Trace Deformation, JHEP 12 (2017) 151 [arXiv:1608.05687] [INSPIRE].
M. Rangamani and T. Takayanagi, Holographic Entanglement Entropy, Lect. Notes Phys. 931 (2017) 1 [arXiv:1609.01287] [INSPIRE].
D. Harlow, TASI Lectures on the Emergence of Bulk Physics in AdS/CFT, PoS(TASI2017)002 (2018) [arXiv:1802.01040] [INSPIRE].
J.B. Gutowski and H.S. Reall, Supersymmetric AdS5 black holes, JHEP 02 (2004) 006 [hep-th/0401042] [INSPIRE].
J.B. Gutowski and H.S. Reall, General supersymmetric AdS5 black holes, JHEP 04 (2004) 048 [hep-th/0401129] [INSPIRE].
Z.W. Chong, M. Cvetič, H. Lü and C.N. Pope, General non-extremal rotating black holes in minimal five-dimensional gauged supergravity, Phys. Rev. Lett. 95 (2005) 161301 [hep-th/0506029] [INSPIRE].
S.-Q. Wu, General Nonextremal Rotating Charged AdS Black Holes in Five-dimensional U(1)3 Gauged Supergravity: A Simple Construction Method, Phys. Lett. B 707 (2012) 286 [arXiv:1108.4159] [INSPIRE].
S. Kim and K.-M. Lee, 1/16-BPS Black Holes and Giant Gravitons in the AdS5 × S5 Space, JHEP 12 (2006) 077 [hep-th/0607085] [INSPIRE].
J. Kinney, J.M. Maldacena, S. Minwalla and S. Raju, An Index for 4 dimensional super conformal theories, Commun. Math. Phys. 275 (2007) 209 [hep-th/0510251] [INSPIRE].
M. Berkooz, D. Reichmann and J. Simon, A Fermi Surface Model for Large Supersymmetric AdS5 Black Holes, JHEP 01 (2007) 048 [hep-th/0604023] [INSPIRE].
L. Grant, P.A. Grassi, S. Kim and S. Minwalla, Comments on 1/16 BPS Quantum States and Classical Configurations, JHEP 05 (2008) 049 [arXiv:0803.4183] [INSPIRE].
C.-M. Chang and X. Yin, 1/16 BPS states in \( \mathcal{N} \) = 4 super-Yang-Mills theory, Phys. Rev. D 88 (2013) 106005 [arXiv:1305.6314] [INSPIRE].
S.M. Hosseini, K. Hristov and A. Zaffaroni, An extremization principle for the entropy of rotating BPS black holes in AdS5 , JHEP 07 (2017) 106 [arXiv:1705.05383] [INSPIRE].
A. Cabo-Bizet, D. Cassani, D. Martelli and S. Murthy, Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS5 black holes, JHEP 10 (2019) 062 [arXiv:1810.11442] [INSPIRE].
B. Assel, D. Cassani and D. Martelli, Localization on Hopf surfaces, JHEP 08 (2014) 123 [arXiv:1405.5144] [INSPIRE].
B. Assel, D. Cassani, L. Di Pietro, Z. Komargodski, J. Lorenzen and D. Martelli, The Casimir Energy in Curved Space and its Supersymmetric Counterpart, JHEP 07 (2015) 043 [arXiv:1503.05537] [INSPIRE].
N. Bobev, M. Bullimore and H.-C. Kim, Supersymmetric Casimir Energy and the Anomaly Polynomial, JHEP 09 (2015) 142 [arXiv:1507.08553] [INSPIRE].
F. Brünner, D. Regalado and V.P. Spiridonov, Supersymmetric Casimir energy and SL(3, ℤ) transformations, JHEP 07 (2017) 041 [arXiv:1611.03831] [INSPIRE].
S. Choi, J. Kim, S. Kim and J. Nahmgoong, Large AdS black holes from QFT, arXiv:1810.12067 [INSPIRE].
F. Benini and P. Milan, Black holes in 4d \( \mathcal{N} \) = 4 Super-Yang-Mills, Phys. Rev. X 10 (2020) 021037 [arXiv:1812.09613] [INSPIRE].
F. Benini and P. Milan, A Bethe Ansatz type formula for the superconformal index, arXiv:1811.04107 [INSPIRE].
S.M. Hosseini, A. Nedelin and A. Zaffaroni, The Cardy limit of the topologically twisted index and black strings in AdS5 , JHEP 04 (2017) 014 [arXiv:1611.09374] [INSPIRE].
J. Hong and J.T. Liu, The topologically twisted index of \( \mathcal{N} \) = 4 super-Yang-Mills on T 2 × S2 and the elliptic genus, JHEP 07 (2018) 018 [arXiv:1804.04592] [INSPIRE].
A. Zaffaroni, Lectures on AdS Black Holes, Holography and Localization, 2019, arXiv:1902.07176 [INSPIRE].
S. Choi, J. Kim, S. Kim and J. Nahmgoong, Comments on deconfinement in AdS/CFT, arXiv:1811.08646 [INSPIRE].
M. Honda, Quantum Black Hole Entropy from 4d Supersymmetric Cardy formula, Phys. Rev. D 100 (2019) 026008 [arXiv:1901.08091] [INSPIRE].
A. Arabi Ardehali, Cardy-like asymptotics of the 4d \( \mathcal{N} \) = 4 index and AdS5 blackholes, JHEP 06 (2019) 134 [arXiv:1902.06619] [INSPIRE].
S. Choi and S. Kim, Large AdS6 black holes from C F T5 , arXiv:1904.01164 [INSPIRE].
J. Kim, S. Kim and J. Song, A 4d N = 1 Cardy Formula, arXiv:1904.03455 [INSPIRE].
A. Cabo-Bizet, D. Cassani, D. Martelli and S. Murthy, The asymptotic growth of states of the 4d \( \mathcal{N} \) = 1 superconformal index, JHEP 08 (2019) 120 [arXiv:1904.05865] [INSPIRE].
A. Amariti, I. Garozzo and G. Lo Monaco, Entropy function from toric geometry, arXiv:1904.10009 [INSPIRE].
J. Nian and L.A. Pando Zayas, Microscopic entropy of rotating electrically charged AdS4 black holes from field theory localization, JHEP 03 (2020) 081 [arXiv:1909.07943] [INSPIRE].
A. Almheiri and J. Polchinski, Models of AdS2 backreaction and holography, JHEP 11 (2015) 014 [arXiv:1402.6334] [INSPIRE].
A. Almheiri and B. Kang, Conformal Symmetry Breaking and Thermodynamics of Near-Extremal Black Holes, JHEP 10 (2016) 052 [arXiv:1606.04108] [INSPIRE].
F. Larsen, A nAttractor mechanism for nAdS2 /nC F T1 holography, JHEP 04 (2019) 055 [arXiv:1806.06330] [INSPIRE].
F. Larsen and E.J. Martinec, U(1) charges and moduli in the D1-D5 system, JHEP 06 (1999) 019 [hep-th/9905064] [INSPIRE].
F. Larsen and E.J. Martinec, Currents and moduli in the (4, 0) theory, JHEP 11 (1999) 002 [hep-th/9909088] [INSPIRE].
T. Birkandan and M. Cvetič, Wave Equation for the Wu Black Hole, JHEP 09 (2014) 121 [arXiv:1407.8173] [INSPIRE].
M. Cvetič, G.W. Gibbons, H. Lü and C.N. Pope, Rotating black holes in gauged supergravities: Thermodynamics, supersymmetric limits, topological solitons and time machines, hep-th/0504080 [INSPIRE].
P.J. Silva, Thermodynamics at the BPS bound for Black Holes in AdS, JHEP 10 (2006) 022 [hep-th/0607056] [INSPIRE].
J. Preskill, P. Schwarz, A.D. Shapere, S. Trivedi and F. Wilczek, Limitations on the statistical description of black holes, Mod. Phys. Lett. A 6 (1991) 2353 [INSPIRE].
B. Sundborg, The Hagedorn transition, deconfinement and N = 4 SYM theory, Nucl. Phys. B 573 (2000) 349 [hep-th/9908001] [INSPIRE].
O. Aharony, J. Marsano, S. Minwalla, K. Papadodimas and M. Van Raamsdonk, The Hagedorn-deconfinement phase transition in weakly coupled large N gauge theories, Adv. Theor. Math. Phys. 8 (2004) 603 [hep-th/0310285] [INSPIRE].
P.H. Ginsparg and G.W. Moore, Lectures on 2-D gravity and 2-D string theory, in Proceedings, Theoretical Advanced Study Institute (TASI 92): From Black Holes and Strings to Particles, Boulder, U.S.A., 1–26 June 1992, pp. 277–469 (1993) [hep-th/9304011] [INSPIRE].
M. Mariño, Lectures on localization and matrix models in supersymmetric Chern-Simons-matter theories, J. Phys. A 44 (2011) 463001 [arXiv:1104.0783] [INSPIRE].
D.J. Gross and E. Witten, Possible Third Order Phase Transition in the Large N Lattice Gauge Theory, Phys. Rev. D 21 (1980) 446 [INSPIRE].
A. Sen, Black Hole Entropy Function, Attractors and Precision Counting of Microstates, Gen. Rel. Grav. 40 (2008) 2249 [arXiv:0708.1270] [INSPIRE].
C.G. Callan and J.M. Maldacena, D-brane approach to black hole quantum mechanics, Nucl. Phys. B 472 (1996) 591 [hep-th/9602043] [INSPIRE].
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Larsen, F., Nian, J. & Zeng, Y. AdS5 black hole entropy near the BPS limit. J. High Energ. Phys. 2020, 1 (2020). https://doi.org/10.1007/JHEP06(2020)001
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DOI: https://doi.org/10.1007/JHEP06(2020)001