\(\mathrm{AdS}_5\) black hole entropy near the BPS limit. (English) Zbl 1437.83064
Summary: We analyze \(\mathrm{AdS}_5\) 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.
MSC:
| 83C57 | Black holes |
| 83E30 | String and superstring theories in gravitational theory |
| 81P17 | Quantum entropies |
| 70S15 | Yang-Mills and other gauge theories in mechanics of particles and systems |
| 81T60 | Supersymmetric field theories in quantum mechanics |
References:
| [1] | Strominger, A.; Vafa, C., Microscopic origin of the Bekenstein-Hawking entropy, Phys. Lett., B 379, 99 (1996) · Zbl 1376.83026 · doi:10.1016/0370-2693(96)00345-0 |
| [2] | Benini, F.; Hristov, K.; Zaffaroni, A., Black hole microstates in AdS_4from supersymmetric localization, JHEP, 05, 054 (2016) · Zbl 1388.83388 · doi:10.1007/JHEP05(2016)054 |
| [3] | 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]. |
| [4] | A. Kitaev, A simple model of quantum holography, http://online.kitp.ucsb.edu/online/entangled15/. |
| [5] | J. Maldacena, D. Stanford and Z. Yang, Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space, PTEP2016 (2016) 12C104 [arXiv:1606.01857] [INSPIRE]. · Zbl 1361.81112 |
| [6] | Gao, P.; Jafferis, DL; Wall, AC, Traversable Wormholes via a Double Trace Deformation, JHEP, 12, 151 (2017) · Zbl 1383.83054 · doi:10.1007/JHEP12(2017)151 |
| [7] | Rangamani, M.; Takayanagi, T., Holographic Entanglement Entropy, Lect. Notes Phys., 931, 1 (2017) · Zbl 1371.81011 · doi:10.1007/978-3-319-52573-0_1 |
| [8] | D. Harlow, TASI Lectures on the Emergence of Bulk Physics in AdS/CFT, PoS(TASI2017)002 (2018) [arXiv:1802.01040] [INSPIRE]. |
| [9] | Gutowski, JB; Reall, HS, Supersymmetric AdS_5black holes, JHEP, 02, 006 (2004) · doi:10.1088/1126-6708/2004/02/006 |
| [10] | Gutowski, JB; Reall, HS, General supersymmetric AdS_5black holes, JHEP, 04, 048 (2004) · doi:10.1088/1126-6708/2004/04/048 |
| [11] | Chong, ZW; Cvetič, M.; Lü, H.; Pope, CN, General non-extremal rotating black holes in minimal five-dimensional gauged supergravity, Phys. Rev. Lett., 95, 161301 (2005) · doi:10.1103/PhysRevLett.95.161301 |
| [12] | Wu, S-Q, General Nonextremal Rotating Charged AdS Black Holes in Five-dimensional U(1)^3Gauged Supergravity: A Simple Construction Method, Phys. Lett., B 707, 286 (2012) |
| [13] | Kim, S.; Lee, K-M, 1/16-BPS Black Holes and Giant Gravitons in the AdS_5× S^5Space, JHEP, 12, 077 (2006) · Zbl 1226.83067 · doi:10.1088/1126-6708/2006/12/077 |
| [14] | Kinney, J.; Maldacena, JM; Minwalla, S.; Raju, S., An Index for 4 dimensional super conformal theories, Commun. Math. Phys., 275, 209 (2007) · Zbl 1122.81070 · doi:10.1007/s00220-007-0258-7 |
| [15] | Berkooz, M.; Reichmann, D.; Simon, J., A Fermi Surface Model for Large Supersymmetric AdS5 Black Holes, JHEP, 01, 048 (2007) · doi:10.1088/1126-6708/2007/01/048 |
| [16] | Grant, L.; Grassi, PA; Kim, S.; Minwalla, S., Comments on 1/16 BPS Quantum States and Classical Configurations, JHEP, 05, 049 (2008) · doi:10.1088/1126-6708/2008/05/049 |
| [17] | Chang, C-M; Yin, X., 1/16 BPS states in \(\mathcal{N} = 4\) super-Yang-Mills theory, Phys. Rev., D 88, 106005 (2013) |
| [18] | Hosseini, SM; Hristov, K.; Zaffaroni, A., An extremization principle for the entropy of rotating BPS black holes in AdS_5, JHEP, 07, 106 (2017) · Zbl 1380.83146 · doi:10.1007/JHEP07(2017)106 |
| [19] | Cabo-Bizet, A.; Cassani, D.; Martelli, D.; Murthy, S., Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS5 black holes, JHEP, 10, 062 (2019) · Zbl 1427.83036 · doi:10.1007/JHEP10(2019)062 |
| [20] | Assel, B.; Cassani, D.; Martelli, D., Localization on Hopf surfaces, JHEP, 08, 123 (2014) · doi:10.1007/JHEP08(2014)123 |
| [21] | Assel, B.; Cassani, D.; Di Pietro, L.; Komargodski, Z.; Lorenzen, J.; Martelli, D., The Casimir Energy in Curved Space and its Supersymmetric Counterpart, JHEP, 07, 043 (2015) · Zbl 1388.81395 · doi:10.1007/JHEP07(2015)043 |
| [22] | Bobev, N.; Bullimore, M.; Kim, H-C, Supersymmetric Casimir Energy and the Anomaly Polynomial, JHEP, 09, 142 (2015) · Zbl 1388.81777 |
| [23] | Brünner, F.; Regalado, D.; Spiridonov, VP, Supersymmetric Casimir energy and SL(3, ℤ) transformations, JHEP, 07, 041 (2017) · Zbl 1380.81376 · doi:10.1007/JHEP07(2017)041 |
| [24] | S. Choi, J. Kim, S. Kim and J. Nahmgoong, Large AdS black holes from QFT, arXiv:1810.12067 [INSPIRE]. |
| [25] | Benini, F.; Milan, P., Black holes in 4d \(\mathcal{N} = 4\) Super-Yang-Mills, Phys. Rev., X 10 (2020) · doi:10.1103/PhysRevX.10.021037 |
| [26] | F. Benini and P. Milan, A Bethe Ansatz type formula for the superconformal index, arXiv:1811.04107 [INSPIRE]. · Zbl 1439.81087 |
| [27] | Hosseini, SM; Nedelin, A.; Zaffaroni, A., The Cardy limit of the topologically twisted index and black strings in AdS_5, JHEP, 04, 014 (2017) · Zbl 1378.81125 · doi:10.1007/JHEP04(2017)014 |
| [28] | Hong, J.; Liu, JT, The topologically twisted index of \(\mathcal{N} = 4\) super-Yang-Mills on T^2× S^2and the elliptic genus, JHEP, 07, 018 (2018) · Zbl 1395.81268 · doi:10.1007/JHEP07(2018)018 |
| [29] | A. Zaffaroni, Lectures on AdS Black Holes, Holography and Localization, 2019, arXiv:1902.07176 [INSPIRE]. |
| [30] | S. Choi, J. Kim, S. Kim and J. Nahmgoong, Comments on deconfinement in AdS/CFT, arXiv:1811.08646 [INSPIRE]. |
| [31] | Honda, M., Quantum Black Hole Entropy from 4d Supersymmetric Cardy formula, Phys. Rev., D 100 (2019) |
| [32] | Arabi Ardehali, A., Cardy-like asymptotics of the 4d \(\mathcal{N} = 4\) index and AdS_5blackholes, JHEP, 06, 134 (2019) · Zbl 1416.83037 · doi:10.1007/JHEP06(2019)134 |
| [33] | S. Choi and S. Kim, Large AdS6 black holes from C F T_5 , arXiv:1904.01164 [INSPIRE]. |
| [34] | J. Kim, S. Kim and J. Song, A 4d N = 1 Cardy Formula, arXiv:1904.03455 [INSPIRE]. |
| [35] | Cabo-Bizet, A.; Cassani, D.; Martelli, D.; Murthy, S., The asymptotic growth of states of the 4d \(\mathcal{N} = 1\) superconformal index, JHEP, 08, 120 (2019) · Zbl 1421.81134 · doi:10.1007/JHEP08(2019)120 |
| [36] | A. Amariti, I. Garozzo and G. Lo Monaco, Entropy function from toric geometry, arXiv:1904.10009 [INSPIRE]. |
| [37] | Nian, J.; Pando Zayas, LA, Microscopic entropy of rotating electrically charged AdS_4black holes from field theory localization, JHEP, 03, 081 (2020) · Zbl 1435.83097 · doi:10.1007/JHEP03(2020)081 |
| [38] | Almheiri, A.; Polchinski, J., Models of AdS_2backreaction and holography, JHEP, 11, 014 (2015) · Zbl 1388.83079 · doi:10.1007/JHEP11(2015)014 |
| [39] | Almheiri, A.; Kang, B., Conformal Symmetry Breaking and Thermodynamics of Near-Extremal Black Holes, JHEP, 10, 052 (2016) · Zbl 1390.83167 · doi:10.1007/JHEP10(2016)052 |
| [40] | Larsen, F., A nAttractor mechanism for nAdS_2/nC F T_1holography, JHEP, 04, 055 (2019) · Zbl 1415.81087 · doi:10.1007/JHEP04(2019)055 |
| [41] | Larsen, F.; Martinec, EJ, U(1) charges and moduli in the D1-D5 system, JHEP, 06, 019 (1999) · Zbl 0961.81073 · doi:10.1088/1126-6708/1999/06/019 |
| [42] | Larsen, F.; Martinec, EJ, Currents and moduli in the (4, 0) theory, JHEP, 11, 002 (1999) · Zbl 0957.81042 · doi:10.1088/1126-6708/1999/11/002 |
| [43] | Birkandan, T.; Cvetič, M., Wave Equation for the Wu Black Hole, JHEP, 09, 121 (2014) · doi:10.1007/JHEP09(2014)121 |
| [44] | 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]. |
| [45] | Silva, PJ, Thermodynamics at the BPS bound for Black Holes in AdS, JHEP, 10, 022 (2006) · doi:10.1088/1126-6708/2006/10/022 |
| [46] | Preskill, J.; Schwarz, P.; Shapere, AD; Trivedi, S.; Wilczek, F., Limitations on the statistical description of black holes, Mod. Phys. Lett., A 6, 2353 (1991) · Zbl 1020.83620 · doi:10.1142/S0217732391002773 |
| [47] | Sundborg, B., The Hagedorn transition, deconfinement and N = 4 SYM theory, Nucl. Phys., B 573, 349 (2000) · Zbl 0947.81126 · doi:10.1016/S0550-3213(00)00044-4 |
| [48] | Aharony, O.; Marsano, J.; Minwalla, S.; Papadodimas, K.; Van Raamsdonk, M., The Hagedorn-deconfinement phase transition in weakly coupled large N gauge theories, Adv. Theor. Math. Phys., 8, 603 (2004) · Zbl 1079.81046 · doi:10.4310/ATMP.2004.v8.n4.a1 |
| [49] | 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]. |
| [50] | Mariño, M., Lectures on localization and matrix models in supersymmetric Chern-Simons-matter theories, J. Phys., A 44, 463001 (2011) · Zbl 1270.81235 |
| [51] | Gross, DJ; Witten, E., Possible Third Order Phase Transition in the Large N Lattice Gauge Theory, Phys. Rev., D 21, 446 (1980) |
| [52] | Sen, A., Black Hole Entropy Function, Attractors and Precision Counting of Microstates, Gen. Rel. Grav., 40, 2249 (2008) · Zbl 1153.83007 · doi:10.1007/s10714-008-0626-4 |
| [53] | Callan, CG; Maldacena, JM, D-brane approach to black hole quantum mechanics, Nucl. Phys., B 472, 591 (1996) · Zbl 0925.83041 · doi:10.1016/0550-3213(96)00225-8 |
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