Abstract
We continue an examination of the microstate geometries program begun in arXiv:1409.6017, focussing on the role of branes that wrap the cycles which degenerate when a throat in the geometry deepens and a horizon forms. An associated quiver quantum mechanical model of minimally wrapped branes exhibits a non-negligible fraction of the gravitational entropy, which scales correctly as a function of the charges. The results suggest a picture of AdS3/CFT2 duality wherein the long string that accounts for BTZ black hole entropy in the CFT description, can also be seen to inhabit the horizon of BPS black holes on the gravity side.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
F. Larsen and E.J. Martinec, U(1) charges and moduli in the D1-D5 system, JHEP 06 (1999) 019 [hep-th/9905064] [INSPIRE].
A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy, Phys. Lett. B 379 (1996) 99 [hep-th/9601029] [INSPIRE].
A. Strominger, Black hole entropy from near horizon microstates, JHEP 02 (1998) 009 [hep-th/9712251] [INSPIRE].
S.W. Hawking, Breakdown of Predictability in Gravitational Collapse, Phys. Rev. D 14 (1976) 2460 [INSPIRE].
S.D. Mathur, The Fuzzball proposal for black holes: An Elementary review, Fortsch. Phys. 53 (2005) 793 [hep-th/0502050] [INSPIRE].
I. Bena and N.P. Warner, Resolving the Structure of Black Holes: Philosophizing with a Hammer, arXiv:1311.4538 [INSPIRE].
O. Lunin and S.D. Mathur, Metric of the multiply wound rotating string, Nucl. Phys. B 610 (2001) 49 [hep-th/0105136] [INSPIRE].
I. Bena, M. Shigemori and N.P. Warner, Black-Hole Entropy from Supergravity Superstrata States, JHEP 10 (2014) 140 [arXiv:1406.4506] [INSPIRE].
I. Bena, S. Giusto, R. Russo, M. Shigemori and N.P. Warner, Habemus Superstratum! A constructive proof of the existence of superstrata, JHEP 05 (2015) 110 [arXiv:1503.01463] [INSPIRE].
S. Giusto, E. Moscato and R. Russo, AdS3 Holography for 1/4 and 1/8 BPS geometries, [arXiv:1507.00945] [INSPIRE].
E.J. Martinec, The Cheshire Cap, JHEP 03 (2015) 112 [arXiv:1409.6017] [INSPIRE].
I. Bena, J. de Boer, M. Shigemori and N.P. Warner, Double, Double Supertube Bubble, JHEP 10 (2011) 116 [arXiv:1107.2650] [INSPIRE].
A. Giveon, D. Kutasov and O. Pelc, Holography for noncritical superstrings, JHEP 10 (1999) 035 [hep-th/9907178] [INSPIRE].
A. Giveon and D. Kutasov, Little string theory in a double scaling limit, JHEP 10 (1999) 034 [hep-th/9909110] [INSPIRE].
A. Giveon and D. Kutasov, Comments on double scaled little string theory, JHEP 01 (2000) 023 [hep-th/9911039] [INSPIRE].
J.M. Maldacena, Statistical entropy of near extremal five-branes, Nucl. Phys. B 477 (1996) 168 [hep-th/9605016] [INSPIRE].
I. Bena, N. Bobev, C. Ruef and N.P. Warner, Supertubes in Bubbling Backgrounds: Born-Infeld Meets Supergravity, JHEP 07 (2009) 106 [arXiv:0812.2942] [INSPIRE].
I. Bena, N. Bobev, S. Giusto, C. Ruef and N.P. Warner, An Infinite-Dimensional Family of Black-Hole Microstate Geometries, JHEP 03 (2011) 022 [Erratum ibid. 1104 (2011) 059] [arXiv:1006.3497] [INSPIRE].
A. Giveon, J. Harvey, D. Kutasov and S. Lee, Three-Charge Black Holes and Quarter BPS States in Little String Theory, arXiv:1508.04437 [INSPIRE].
A. Strominger, Massless black holes and conifolds in string theory, Nucl. Phys. B 451 (1995) 96 [hep-th/9504090] [INSPIRE].
C.M. Hull and P.K. Townsend, Enhanced gauge symmetries in superstring theories, Nucl. Phys. B 451 (1995) 525 [hep-th/9505073] [INSPIRE].
F. Denef, Quantum quivers and Hall/hole halos, JHEP 10 (2002) 023 [hep-th/0206072] [INSPIRE].
F. Denef and G.W. Moore, Split states, entropy enigmas, holes and halos, JHEP 11 (2011) 129 [hep-th/0702146] [INSPIRE].
I. Bena, M. Berkooz, J. de Boer, S. El-Showk and D. Van den Bleeken, Scaling BPS Solutions and pure-Higgs States, JHEP 11 (2012) 171 [arXiv:1205.5023] [INSPIRE].
D. Kutasov, Introduction to little string theory, in Proceedings of Superstrings and related matters Spring School, Trieste Italy (2001), pg. 165.
R. Dijkgraaf, E.P. Verlinde and H.L. Verlinde, BPS spectrum of the five-brane and black hole entropy, Nucl. Phys. B 486 (1997) 77 [hep-th/9603126] [INSPIRE].
C.G. Callan Jr., J.A. Harvey and A. Strominger, World sheet approach to heterotic instantons and solitons, Nucl. Phys. B 359 (1991) 611 [INSPIRE].
O. Lunin, S.D. Mathur and A. Saxena, What is the gravity dual of a chiral primary?, Nucl. Phys. B 655 (2003) 185 [hep-th/0211292] [INSPIRE].
D. Mateos and P.K. Townsend, Supertubes, Phys. Rev. Lett. 87 (2001) 011602 [hep-th/0103030] [INSPIRE].
R. Emparan, D. Mateos and P.K. Townsend, Supergravity supertubes, JHEP 07 (2001) 011 [hep-th/0106012] [INSPIRE].
A. Dabholkar, J.P. Gauntlett, J.A. Harvey and D. Waldram, Strings as solitons and black holes as strings, Nucl. Phys. B 474 (1996) 85 [hep-th/9511053] [INSPIRE].
C.G. Callan, J.M. Maldacena and A.W. Peet, Extremal black holes as fundamental strings, Nucl. Phys. B 475 (1996) 645 [hep-th/9510134] [INSPIRE].
O. Lunin, J.M. Maldacena and L. Maoz, Gravity solutions for the D1 − D5 system with angular momentum, hep-th/0212210 [INSPIRE].
I. Bena, C.-W. Wang and N.P. Warner, Mergers and typical black hole microstates, JHEP 11 (2006) 042 [hep-th/0608217] [INSPIRE].
I. Bena and N.P. Warner, Bubbling supertubes and foaming black holes, Phys. Rev. D 74 (2006) 066001 [hep-th/0505166] [INSPIRE].
P. Berglund, E.G. Gimon and T.S. Levi, Supergravity microstates for BPS black holes and black rings, JHEP 06 (2006) 007 [hep-th/0505167] [INSPIRE].
I. Bena, S. Giusto, M. Shigemori and N.P. Warner, Supersymmetric Solutions in Six Dimensions: A Linear Structure, JHEP 03 (2012) 084 [arXiv:1110.2781] [INSPIRE].
I. Bena and N.P. Warner, Black holes, black rings and their microstates, Lect. Notes Phys. 755 (2008) 1 [hep-th/0701216] [INSPIRE].
T. Banks, TASI lectures on matrix theory, hep-th/9911068 [INSPIRE].
E.J. Weinberg and P. Yi, Magnetic Monopole Dynamics, Supersymmetry and Duality, Phys. Rept. 438 (2007) 65 [hep-th/0609055] [INSPIRE].
A. Sen, Equivalence of three wall-crossing formulae, Commun. Num. Theor. Phys. 6 (2012) 601 [arXiv:1112.2515] [INSPIRE].
J. Polchinski and P. Pouliot, Membrane scattering with M momentum transfer, Phys. Rev. D 56 (1997) 6601 [hep-th/9704029] [INSPIRE].
I. Bena, C.-W. Wang and N.P. Warner, Plumbing the Abyss: Black ring microstates, JHEP 07 (2008) 019 [arXiv:0706.3786] [INSPIRE].
D. Gaiotto, A. Simons, A. Strominger and X. Yin, D0-branes in black hole attractors, hep-th/0412179 [INSPIRE].
F. Denef, D. Gaiotto, A. Strominger, D. Van den Bleeken and X. Yin, Black Hole Deconstruction, JHEP 03 (2012) 071 [hep-th/0703252] [INSPIRE].
R. Gregory, J.A. Harvey and G.W. Moore, Unwinding strings and t duality of Kaluza-Klein and h monopoles, Adv. Theor. Math. Phys. 1 (1997) 283 [hep-th/9708086] [INSPIRE].
A. Sen, A Note on enhanced gauge symmetries in M and string theory, JHEP 09 (1997) 001 [hep-th/9707123] [INSPIRE].
S. Gukov, M. Rangamani and E. Witten, Dibaryons, strings and branes in AdS orbifold models, JHEP 12 (1998) 025 [hep-th/9811048] [INSPIRE].
D.S. Freed, G.W. Moore and G. Segal, The Uncertainty of Fluxes, Commun. Math. Phys. 271 (2007) 247 [hep-th/0605198] [INSPIRE].
D.S. Freed, G.W. Moore and G. Segal, Heisenberg Groups and Noncommutative Fluxes, Annals Phys. 322 (2007) 236 [hep-th/0605200] [INSPIRE].
B.E. Niehoff and N.P. Warner, Doubly-Fluctuating BPS Solutions in Six Dimensions, JHEP 10 (2013) 137 [arXiv:1303.5449] [INSPIRE].
S. Giusto, O. Lunin, S.D. Mathur and D. Turton, D1 − D5 − P microstates at the cap, JHEP 02 (2013) 050 [arXiv:1211.0306] [INSPIRE].
D. Marolf, The dangers of extremes, Gen. Rel. Grav. 42 (2010) 2337 [arXiv:1005.2999] [INSPIRE].
D. Marolf and A. Ori, Outgoing gravitational shock-wave at the inner horizon: The late-time limit of black hole interiors, Phys. Rev. D 86 (2012) 124026 [arXiv:1109.5139] [INSPIRE].
K. Murata, H.S. Reall and N. Tanahashi, What happens at the horizon(s) of an extreme black hole?, Class. Quant. Grav. 30 (2013) 235007 [arXiv:1307.6800] [INSPIRE].
A. Sen, Two Charge System Revisited: Small Black Holes or Horizonless Solutions?, JHEP 05 (2010) 097 [arXiv:0908.3402] [INSPIRE].
N. Banerjee, I. Mandal and A. Sen, Black Hole Hair Removal, JHEP 07 (2009) 091 [arXiv:0901.0359] [INSPIRE].
B.E. Niehoff, O. Vasilakis and N.P. Warner, Multi-Superthreads and Supersheets, JHEP 04 (2013) 046 [arXiv:1203.1348] [INSPIRE].
B.D. Chowdhury and S.D. Mathur, Radiation from the non-extremal fuzzball, Class. Quant. Grav. 25 (2008) 135005 [arXiv:0711.4817] [INSPIRE].
B.D. Chowdhury and S.D. Mathur, Non-extremal fuzzballs and ergoregion emission, Class. Quant. Grav. 26 (2009) 035006 [arXiv:0810.2951] [INSPIRE].
B. Chakrabarty, D. Turton, and A. Virmani, Holographic description of non-supersymmetric orbifolded D1-D5-P solutions, arXiv:1508.01231 [INSPIRE].
I. Kanitscheider, K. Skenderis and M. Taylor, Holographic anatomy of fuzzballs, JHEP 04 (2007) 023 [hep-th/0611171] [INSPIRE].
A. Giveon, M. Porrati and E. Rabinovici, Target space duality in string theory, Phys. Rept. 244 (1994) 77 [hep-th/9401139] [INSPIRE].
K. Becker, M. Becker and J.H. Schwarz, String theory and M-theory: A modern introduction, Cambridge University Press, Cambridge U.K. (2006).
C.V. Johnson, D-branes, Cambridge University Press, Cambridge U.K. (2006).
J. Simon, Brane Effective Actions, κ-symmetry and Applications, Living Rev. Rel. 15 (2012) 3 [arXiv:1110.2422] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1509.00044
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Martinec, E.J., Niehoff, B.E. Hair-brane ideas on the horizon. J. High Energ. Phys. 2015, 195 (2015). https://doi.org/10.1007/JHEP11(2015)195
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP11(2015)195