A universal counting of black hole microstates in \(\mathrm{AdS}_{4}\). (English) Zbl 1387.81303
Summary: Many three-dimensional \( \mathcal{N}=2 \) SCFTs admit a universal partial topological twist when placed on hyperbolic Riemann surfaces. We exploit this fact to derive a universal formula which relates the planar limit of the topologically twisted index of these SCFTs and their three-sphere partition function. We then utilize this to account for the entropy of a large class of supersymmetric asymptotically \(\mathrm{AdS}_{4}\) magnetically charged black holes in M-theory and massive type IIA string theory. In this context we also discuss novel \(\mathrm{AdS}_{2}\) solutions of eleven-dimensional supergravity which describe the near horizon region of large new families of supersymmetric black holes arising from M2-branes wrapping Riemann surfaces.
MSC:
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 83C57 | Black holes |
| 83E30 | String and superstring theories in gravitational theory |
| 53Z05 | Applications of differential geometry to physics |
| 83E50 | Supergravity |
References:
| [1] | A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy, Phys. Lett.B 379 (1996) 99 [hep-th/9601029] [INSPIRE]. · Zbl 1376.83026 · doi:10.1016/0370-2693(96)00345-0 |
| [2] | A. Sen, Extremal black holes and elementary string states, Mod. Phys. Lett. A 10 (1995) 2081 [hep-th/9504147] [INSPIRE]. · Zbl 0957.83542 |
| [3] | F. Benini, K. Hristov and A. Zaffaroni, Black hole microstates in AdS4from supersymmetric localization, JHEP05 (2016) 054 [arXiv:1511.04085] [INSPIRE]. · Zbl 1388.83388 · doi:10.1007/JHEP05(2016)054 |
| [4] | F. Benini and A. Zaffaroni, A topologically twisted index for three-dimensional supersymmetric theories, JHEP07 (2015) 127 [arXiv:1504.03698] [INSPIRE]. · Zbl 1388.81400 · doi:10.1007/JHEP07(2015)127 |
| [5] | F. Benini, K. Hristov and A. Zaffaroni, Exact microstate counting for dyonic black holes in AdS4, Phys. Lett.B 771 (2017) 462 [arXiv:1608.07294] [INSPIRE]. · Zbl 1372.83030 |
| [6] | S.M. Hosseini and A. Zaffaroni, Large-N matrix models for \[3dN=2 \mathcal{N}=2\] theories: twisted index, free energy and black holes, JHEP08 (2016) 064 [arXiv:1604.03122] [INSPIRE]. · Zbl 1390.83345 |
| [7] | S.M. Hosseini and N. Mekareeya, Large-N topologically twisted index: necklace quivers, dualities and Sasaki-Einstein spaces, JHEP08 (2016) 089 [arXiv:1604.03397] [INSPIRE]. · Zbl 1390.81600 · doi:10.1007/JHEP08(2016)089 |
| [8] | F. Benini and A. Zaffaroni, Supersymmetric partition functions on Riemann surfaces, Proc. Symp. Pure Math.96 (2017) 13 [arXiv:1605.06120] [INSPIRE]. · Zbl 1430.81077 |
| [9] | C. Closset and H. Kim, Comments on twisted indices in 3d supersymmetric gauge theories, JHEP08 (2016) 059 [arXiv:1605.06531] [INSPIRE]. · Zbl 1390.81578 |
| [10] | S.M. Hosseini, A. Nedelin and A. Zaffaroni, The Cardy limit of the topologically twisted index and black strings in AdS5, JHEP04 (2017) 014 [arXiv:1611.09374] [INSPIRE]. · Zbl 1378.81125 · doi:10.1007/JHEP04(2017)014 |
| [11] | A. Cabo-Bizet, V.I. Giraldo-Rivera and L.A. Pando Zayas, Microstate counting of AdS4hyperbolic black hole entropy via the topologically twisted index, JHEP08 (2017) 023 [arXiv:1701.07893] [INSPIRE]. · Zbl 1381.83055 |
| [12] | L.J. Romans, Supersymmetric, cold and lukewarm black holes in cosmological Einstein-Maxwell theory, Nucl. Phys.B 383 (1992) 395 [hep-th/9203018] [INSPIRE]. · Zbl 1383.83212 |
| [13] | M.M. Caldarelli and D. Klemm, Supersymmetry of Anti-de Sitter black holes, Nucl. Phys.B 545 (1999) 434 [hep-th/9808097] [INSPIRE]. · Zbl 0953.83020 |
| [14] | M. Bershadsky, C. Vafa and V. Sadov, D-branes and topological field theories, Nucl. Phys.B 463 (1996) 420 [hep-th/9511222] [INSPIRE]. · Zbl 1004.81560 |
| [15] | J.M. Maldacena and C. Núñez, Supergravity description of field theories on curved manifolds and a no go theorem, Int. J. Mod. Phys.A 16 (2001) 822 [hep-th/0007018] [INSPIRE]. · Zbl 1005.81075 |
| [16] | J.P. Gauntlett, N. Kim, S. Pakis and D. Waldram, Membranes wrapped on holomorphic curves, Phys. Rev.D 65 (2002) 026003 [hep-th/0105250] [INSPIRE]. |
| [17] | J.P. Gauntlett, Branes, calibrations and supergravity, hep-th/0305074 [INSPIRE]. · Zbl 1158.83300 |
| [18] | N. Kim and J.-D. Park, Comments on AdS2solutions of D = 11 supergravity, JHEP09 (2006) 041 [hep-th/0607093] [INSPIRE]. · Zbl 1270.81151 |
| [19] | J.P. Gauntlett and N. Kim, Geometries with Killing Spinors and Supersymmetric AdS Solutions, Commun. Math. Phys.284 (2008) 897 [arXiv:0710.2590] [INSPIRE]. · Zbl 1179.53078 · doi:10.1007/s00220-008-0575-5 |
| [20] | J.P. Gauntlett, N. Kim and D. Waldram, Supersymmetric AdS3, AdS2and Bubble Solutions, JHEP04 (2007) 005 [hep-th/0612253] [INSPIRE]. |
| [21] | N. Kim, The Backreacted Kähler Geometry of Wrapped Branes, Phys. Rev.D 86 (2012) 067901 [arXiv:1206.1536] [INSPIRE]. · Zbl 1388.83241 |
| [22] | A. Donos and J.P. Gauntlett, Supersymmetric quantum criticality supported by baryonic charges, JHEP10 (2012) 120 [arXiv:1208.1494] [INSPIRE]. · doi:10.1007/JHEP10(2012)120 |
| [23] | N. Kim, Comments on AdS2solutions from M2-branes on complex curves and the backreacted Kähler geometry, Eur. Phys. J.C 74 (2014) 2778 [arXiv:1311.7372] [INSPIRE]. · Zbl 1376.83026 |
| [24] | A. Guarino, BPS black hole horizons from massive IIA, JHEP08 (2017) 100 [arXiv:1706.01823] [INSPIRE]. · Zbl 1381.83063 · doi:10.1007/JHEP08(2017)100 |
| [25] | A. Guarino and J. Tarrío, BPS black holes from massive IIA on S6, JHEP09 (2017) 141 [arXiv:1703.10833] [INSPIRE]. · Zbl 1382.83057 |
| [26] | S.M. Hosseini, K. Hristov and A. Passias, Holographic microstate counting for AdS4black holes in massive IIA supergravity, JHEP10 (2017) 190 [arXiv:1707.06884] [INSPIRE]. · Zbl 1383.83212 · doi:10.1007/JHEP10(2017)190 |
| [27] | F. Benini, H. Khachatryan and P. Milan, Black hole entropy in massive Type IIA, Class. Quant. Grav.35 (2018) 035004 [arXiv:1707.06886] [INSPIRE]. · Zbl 1382.83040 |
| [28] | D.L. Jafferis, The Exact Superconformal R-Symmetry Extremizes Z, JHEP05 (2012) 159 [arXiv:1012.3210] [INSPIRE]. · Zbl 1348.81420 · doi:10.1007/JHEP05(2012)159 |
| [29] | C. Closset, T.T. Dumitrescu, G. Festuccia, Z. Komargodski and N. Seiberg, Contact Terms, Unitarity and F-Maximization in Three-Dimensional Superconformal Theories, JHEP10 (2012) 053 [arXiv:1205.4142] [INSPIRE]. · Zbl 1397.83187 |
| [30] | F. Benini, N. Bobev and P.M. Crichigno, Two-dimensional SCFTs from D3-branes, JHEP07 (2016) 020 [arXiv:1511.09462] [INSPIRE]. · Zbl 1390.83088 |
| [31] | N. Bobev and P.M. Crichigno, Universal RG Flows Across Dimensions and Holography, JHEP12 (2017) 065 [arXiv:1708.05052] [INSPIRE]. · Zbl 1383.81186 · doi:10.1007/JHEP12(2017)065 |
| [32] | O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals, JHEP10 (2008) 091 [arXiv:0806.1218] [INSPIRE]. · Zbl 1245.81130 |
| [33] | N.A. Nekrasov and S.L. Shatashvili, Bethe/Gauge correspondence on curved spaces, JHEP01 (2015) 100 [arXiv:1405.6046] [INSPIRE]. · Zbl 1388.81735 · doi:10.1007/JHEP01(2015)100 |
| [34] | N. Hama, K. Hosomichi and S. Lee, Notes on SUSY Gauge Theories on Three-Sphere, JHEP03 (2011) 127 [arXiv:1012.3512] [INSPIRE]. · Zbl 1301.81133 · doi:10.1007/JHEP03(2011)127 |
| [35] | C. Closset, T.T. Dumitrescu, G. Festuccia, Z. Komargodski and N. Seiberg, Comments on Chern-Simons Contact Terms in Three Dimensions, JHEP09 (2012) 091 [arXiv:1206.5218] [INSPIRE]. · Zbl 1397.81190 · doi:10.1007/JHEP09(2012)091 |
| [36] | K.A. Intriligator and B. Wecht, The exact superconformal R symmetry maximizes a, Nucl. Phys.B 667 (2003) 183 [hep-th/0304128] [INSPIRE]. · Zbl 1059.81602 |
| [37] | F. Benini and N. Bobev, Exact two-dimensional superconformal R-symmetry and c-extremization, Phys. Rev. Lett.110 (2013) 061601 [arXiv:1211.4030] [INSPIRE]. · Zbl 1390.83325 |
| [38] | F. Benini and N. Bobev, Two-dimensional SCFTs from wrapped branes and c-extremization, JHEP06 (2013) 005 [arXiv:1302.4451] [INSPIRE]. · Zbl 1390.83325 · doi:10.1007/JHEP06(2013)005 |
| [39] | C. Closset, H. Kim and B. Willett, Supersymmetric partition functions and the three-dimensional A-twist, JHEP03 (2017) 074 [arXiv:1701.03171] [INSPIRE]. · Zbl 1377.81163 · doi:10.1007/JHEP03(2017)074 |
| [40] | D.L. Jafferis, I.R. Klebanov, S.S. Pufu and B.R. Safdi, Towards the F-Theorem: N = 2 Field Theories on the Three-Sphere, JHEP06 (2011) 102 [arXiv:1103.1181] [INSPIRE]. · Zbl 1298.81304 |
| [41] | A. Hanany, D. Vegh and A. Zaffaroni, Brane Tilings and M2 Branes, JHEP03 (2009) 012 [arXiv:0809.1440] [INSPIRE]. · Zbl 1161.53029 |
| [42] | A. Hanany and A. Zaffaroni, Tilings, Chern-Simons Theories and M2 Branes, JHEP 10 (2008) 111 [arXiv:0808.1244] [INSPIRE]. · Zbl 1245.81176 |
| [43] | D. Martelli and J. Sparks, Moduli spaces of Chern-Simons quiver gauge theories and AdS4/CF T3, Phys. Rev.D 78 (2008) 126005 [arXiv:0808.0912] [INSPIRE]. · Zbl 1161.53029 |
| [44] | D. Gaiotto and D.L. Jafferis, Notes on adding D6 branes wrapping Rp3in AdS4 × CP3, JHEP11 (2012) 015 [arXiv:0903.2175] [INSPIRE]. · Zbl 1383.83212 |
| [45] | F. Benini, C. Closset and S. Cremonesi, Chiral flavors and M2-branes at toric CY4 singularities, JHEP02 (2010) 036 [arXiv:0911.4127] [INSPIRE]. · Zbl 1270.81151 · doi:10.1007/JHEP02(2010)036 |
| [46] | D.L. Jafferis and A. Tomasiello, A Simple class of N = 3 gauge/gravity duals, JHEP10 (2008) 101 [arXiv:0808.0864] [INSPIRE]. · Zbl 1245.83066 |
| [47] | C.P. Herzog, I.R. Klebanov, S.S. Pufu and T. Tesileanu, Multi-Matrix Models and Tri-Sasaki Einstein Spaces, Phys. Rev.D 83 (2011) 046001 [arXiv:1011.5487] [INSPIRE]. · Zbl 1388.81735 |
| [48] | D.R. Gulotta, J.P. Ang and C.P. Herzog, Matrix Models for Supersymmetric Chern-Simons Theories with an ADE Classification, JHEP01 (2012) 132 [arXiv:1111.1744] [INSPIRE]. · Zbl 1306.81106 · doi:10.1007/JHEP01(2012)132 |
| [49] | P.M. Crichigno, C.P. Herzog and D. Jain, Free Energy of DnQuiver Chern-Simons Theories, JHEP03 (2013) 039 [arXiv:1211.1388] [INSPIRE]. · Zbl 1342.81571 |
| [50] | P.M. Crichigno and D. Jain, Non-toric Cones and Chern-Simons Quivers, JHEP05 (2017) 046 [arXiv:1702.05486] [INSPIRE]. · Zbl 1380.81394 · doi:10.1007/JHEP05(2017)046 |
| [51] | D. Martelli and J. Sparks, AdS(40/CFT(3) duals from M2-branes at hypersurface singularities and their deformations, JHEP12 (2009) 017 [arXiv:0909.2036] [INSPIRE]. · Zbl 1348.81420 |
| [52] | F. Benini, C. Closset and S. Cremonesi, Quantum moduli space of Chern-Simons quivers, wrapped D6-branes and AdS4/CFT3, JHEP09 (2011) 005 [arXiv:1105.2299] [INSPIRE]. · Zbl 1301.81164 |
| [53] | A. Guarino, D.L. Jafferis and O. Varela, String Theory Origin of Dyonic N = 8 Supergravity and Its Chern-Simons Duals, Phys. Rev. Lett.115 (2015) 091601 [arXiv:1504.08009] [INSPIRE]. · Zbl 1339.83073 |
| [54] | M. Fluder and J. Sparks, D2-brane Chern-Simons theories: F-maximization = a-maximization, JHEP 01 (2016) 048 [arXiv:1507.05817] [INSPIRE]. · Zbl 1388.83241 · doi:10.1007/JHEP01(2016)048 |
| [55] | Y. Imamura, D. Yokoyama and S. Yokoyama, Superconformal index for large-N quiver Chern-Simons theories, JHEP08 (2011) 011 [arXiv:1102.0621] [INSPIRE]. · Zbl 1298.81302 · doi:10.1007/JHEP08(2011)011 |
| [56] | S. Cheon, D. Gang, S. Kim and J. Park, Refined test of AdS4/CFT3 correspondence for N = 2,3 theories, JHEP05 (2011) 027 [arXiv:1102.4273] [INSPIRE]. |
| [57] | D. Martelli, J. Sparks and S.-T. Yau, Sasaki-Einstein manifolds and volume minimisation, Commun. Math. Phys. 280 (2008) 611 [hep-th/0603021] [INSPIRE]. · Zbl 1161.53029 · doi:10.1007/s00220-008-0479-4 |
| [58] | D.Z. Freedman and A.K. Das, Gauge Internal Symmetry in Extended Supergravity, Nucl. Phys.B 120 (1977) 221 [INSPIRE]. |
| [59] | D. Martelli, A. Passias and J. Sparks, The supersymmetric NUTs and bolts of holography, Nucl. Phys.B 876 (2013) 810 [arXiv:1212.4618] [INSPIRE]. · Zbl 1284.83163 |
| [60] | A. Cabo-Bizet, U. Kol, L.A. Pando Zayas, I. Papadimitriou and V. Rathee, Entropy functional and the holographic attractor mechanism, arXiv:1712.01849 [INSPIRE]. · Zbl 1391.81150 |
| [61] | R. Emparan, C.V. Johnson and R.C. Myers, Surface terms as counterterms in the AdS/CFT correspondence, Phys. Rev.D 60 (1999) 104001 [hep-th/9903238] [INSPIRE]. · Zbl 1161.53029 |
| [62] | J.P. Gauntlett and O. Varela, Consistent Kaluza-Klein reductions for general supersymmetric AdS solutions, Phys. Rev.D 76 (2007) 126007 [arXiv:0707.2315] [INSPIRE]. · Zbl 1181.83184 |
| [63] | N. Drukker, M. Mariño and P. Putrov, From weak to strong coupling in ABJM theory, Commun. Math. Phys.306 (2011) 511 [arXiv:1007.3837] [INSPIRE]. · Zbl 1232.81043 · doi:10.1007/s00220-011-1253-6 |
| [64] | A. Guarino and O. Varela, \[ConsistentN=8 \mathcal{N}=8\] truncation of massive IIA on S6, JHEP12 (2015) 020 [arXiv:1509.02526] [INSPIRE]. · Zbl 1388.81412 |
| [65] | O. Varela, AdS4solutions of massive IIA from dyonic ISO(7) supergravity, JHEP03 (2016) 071 [arXiv:1509.07117] [INSPIRE]. · Zbl 1376.83026 |
| [66] | A. Guarino and O. Varela, Dyonic ISO(7) supergravity and the duality hierarchy, JHEP02 (2016) 079 [arXiv:1508.04432] [INSPIRE]. · Zbl 1388.83815 |
| [67] | D. Gaiotto and A. Tomasiello, The gauge dual of Romans mass, JHEP01 (2010) 015 [arXiv:0901.0969] [INSPIRE]. · Zbl 1269.81126 · doi:10.1007/JHEP01(2010)015 |
| [68] | I.R. Klebanov and E. Witten, Superconformal field theory on three-branes at a Calabi-Yau singularity, Nucl. Phys.B 536 (1998) 199 [hep-th/9807080] [INSPIRE]. · Zbl 0948.81619 |
| [69] | L.J. Romans, Massive N=2a Supergravity in Ten-Dimensions, Phys. Lett.B 169 (1986) 374 [INSPIRE]. |
| [70] | K. Pilch, A. Tyukov and N.P. Warner, \[N=2 \mathcal{N}=2\] Supersymmetric Janus Solutions and Flows: From Gauged Supergravity to M-theory, JHEP05 (2016) 005 [arXiv:1510.08090] [INSPIRE]. · Zbl 1388.83874 |
| [71] | K. Pilch, A. Tyukov and N.P. Warner, Flowing to Higher Dimensions: A New Strongly-Coupled Phase on M2 Branes, JHEP11 (2015) 170 [arXiv:1506.01045] [INSPIRE]. · Zbl 1388.83873 · doi:10.1007/JHEP11(2015)170 |
| [72] | J.P. Gauntlett, D. Martelli, J.F. Sparks and D. Waldram, A New infinite class of Sasaki-Einstein manifolds, Adv. Theor. Math. Phys.8 (2004) 987 [hep-th/0403038] [INSPIRE]. · Zbl 1095.53034 · doi:10.4310/ATMP.2004.v8.n6.a3 |
| [73] | J.P. Ang, M. Roček and J. Schulman, Kähler-Einstein and Kähler scalar flat supermanifolds, arXiv:1605.03245 [INSPIRE]. · Zbl 1298.81302 |
| [74] | O.A.P. Mac Conamhna and E. O Colgain, Supersymmetric wrapped membranes, AdS2spaces and bubbling geometries, JHEP03 (2007) 115 [hep-th/0612196] [INSPIRE]. |
| [75] | A. Donos, J.P. Gauntlett and N. Kim, AdS Solutions Through Transgression, JHEP09 (2008) 021 [arXiv:0807.4375] [INSPIRE]. · Zbl 1245.83060 · doi:10.1088/1126-6708/2008/09/021 |
| [76] | M.T. Anderson, C. Beem, N. Bobev and L. Rastelli, Holographic Uniformization, Commun. Math. Phys.318 (2013) 429 [arXiv:1109.3724] [INSPIRE]. · Zbl 1329.81299 |
| [77] | D. Martelli and J. Sparks, Notes on toric Sasaki-Einstein seven-manifolds and AdS4/CF T3, JHEP11 (2008) 016 [arXiv:0808.0904] [INSPIRE]. · Zbl 1430.81077 |
| [78] | N. Halmagyi, M. Petrini and A. Zaffaroni, BPS black holes in AdS4from M-theory, JHEP08 (2013) 124 [arXiv:1305.0730] [INSPIRE]. · Zbl 1342.83168 |
| [79] | D. Cassani, P. Koerber and O. Varela, All homogeneous N = 2 M-theory truncations with supersymmetric AdS4 vacua, JHEP11 (2012) 173 [arXiv:1208.1262] [INSPIRE]. · Zbl 1397.81348 |
| [80] | A. Amariti and C. Toldo, Betti multiplets, flows across dimensions and c-extremization, JHEP07 (2017) 040 [arXiv:1610.08858] [INSPIRE]. · Zbl 1380.81282 |
| [81] | S.L. Cacciatori and D. Klemm, Supersymmetric AdS4black holes and attractors, JHEP01 (2010) 085 [arXiv:0911.4926] [INSPIRE]. · Zbl 1269.81110 |
| [82] | G. Dall’Agata and A. Gnecchi, Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity, JHEP03 (2011) 037 [arXiv:1012.3756] [INSPIRE]. · Zbl 1301.81248 |
| [83] | K. Hristov and S. Vandoren, Static supersymmetric black holes in AdS4with spherical symmetry, JHEP04 (2011) 047 [arXiv:1012.4314] [INSPIRE]. · Zbl 1250.83041 |
| [84] | N. Halmagyi, BPS Black Hole Horizons in N = 2 Gauged Supergravity, JHEP02 (2014) 051 [arXiv:1308.1439] [INSPIRE]. · Zbl 1388.81400 |
| [85] | A. Sen, Logarithmic Corrections to N = 2 Black Hole Entropy: An Infrared Window into the Microstates, Gen. Rel. Grav.44 (2012) 1207 [arXiv:1108.3842] [INSPIRE]. · Zbl 1241.83051 |
| [86] | M. Baggio, N. Halmagyi, D.R. Mayerson, D. Robbins and B. Wecht, Higher Derivative Corrections and Central Charges from Wrapped M5-branes, JHEP12 (2014) 042 [arXiv:1408.2538] [INSPIRE]. · doi:10.1007/JHEP12(2014)042 |
| [87] | K. Hristov, S. Katmadas and I. Lodato, Higher derivative corrections to BPS black hole attractors in 4d gauged supergravity, JHEP05 (2016) 173 [arXiv:1603.00039] [INSPIRE]. · Zbl 1388.83828 |
| [88] | S. Bhattacharyya, A. Grassi, M. Mariño and A. Sen, A One-Loop Test of Quantum Supergravity, Class. Quant. Grav.31 (2014) 015012 [arXiv:1210.6057] [INSPIRE]. · Zbl 1287.83045 |
| [89] | D. Anselmi, D.Z. Freedman, M.T. Grisaru and A.A. Johansen, Nonperturbative formulas for central functions of supersymmetric gauge theories, Nucl. Phys.B 526 (1998) 543 [hep-th/9708042] [INSPIRE]. · Zbl 1031.81565 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
