Abstract
We study aspects of black holes near the Hagedorn temperature. The large dimension expansion introduced by Soda, Emparan, Grumiller and Tanabe connects them to the well studied two dimensional black hole based on SL(2)k /U(1). This allows us to explore black holes at string scale temperatures. We argue that the black hole can surpass the Hagedorn temperature, but at a somewhat larger temperature it is likely to turn over to a highly excited string.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
M.J. Bowick, L. Smolin and L.C.R. Wijewardhana, Role of string excitations in the last stages of black hole evaporation, Phys. Rev. Lett. 56 (1986) 424 [INSPIRE].
G.T. Horowitz and J. Polchinski, A correspondence principle for black holes and strings, Phys. Rev. D 55 (1997) 6189 [hep-th/9612146] [INSPIRE].
T.G. Mertens, Hagedorn string thermodynamics in curved spacetimes and near black hole horizons, Ph.D. thesis, Gent U., Gent, Belgium (2015) [arXiv:1506.07798] [INSPIRE].
R. Hagedorn, Statistical thermodynamics of strong interactions at high-energies, Nuovo Cim. Suppl. 3 (1965) 147 [INSPIRE].
J.J. Atick and E. Witten, The Hagedorn transition and the number of degrees of freedom of string theory, Nucl. Phys. B 310 (1988) 291 [INSPIRE].
G.T. Horowitz and J. Polchinski, Selfgravitating fundamental strings, Phys. Rev. D 57 (1998) 2557 [hep-th/9707170] [INSPIRE].
L. Susskind and J. Uglum, Black hole entropy in canonical quantum gravity and superstring theory, Phys. Rev. D 50 (1994) 2700 [hep-th/9401070] [INSPIRE].
A. Dabholkar, Tachyon condensation and black hole entropy, Phys. Rev. Lett. 88 (2002) 091301 [hep-th/0111004] [INSPIRE].
E. Witten, On string theory and black holes, Phys. Rev. D 44 (1991) 314 [INSPIRE].
R. Dijkgraaf, H.L. Verlinde and E.P. Verlinde, String propagation in a black hole geometry, Nucl. Phys. B 371 (1992) 269 [INSPIRE].
J.L. Karczmarek, J.M. Maldacena and A. Strominger, Black hole non-formation in the matrix model, JHEP 01 (2006) 039 [hep-th/0411174] [INSPIRE].
J.M. Maldacena, Long strings in two dimensional string theory and non-singlets in the matrix model, JHEP 09 (2005) 078 [hep-th/0503112] [INSPIRE].
D. Kutasov, Accelerating branes and the string/black hole transition, hep-th/0509170 [INSPIRE].
A. Giveon, D. Kutasov, E. Rabinovici and A. Sever, Phases of quantum gravity in AdS3 and linear dilaton backgrounds, Nucl. Phys. B 719 (2005) 3 [hep-th/0503121] [INSPIRE].
A. Parnachev and D.A. Sahakyan, On non-critical superstring/black hole transition, Phys. Rev. D 73 (2006) 086008 [hep-th/0512075] [INSPIRE].
J. Soda, Hierarchical dimensional reduction and gluing geometries, Prog. Theor. Phys. 89 (1993) 1303 [INSPIRE].
R. Emparan, D. Grumiller and K. Tanabe, Large-D gravity and low-D strings, Phys. Rev. Lett. 110 (2013) 251102 [arXiv:1303.1995] [INSPIRE].
C.G. Callan, Jr., R.C. Myers and M.J. Perry, Black holes in string theory, Nucl. Phys. B 311 (1989) 673 [INSPIRE].
A.H. Chamseddine, A study of noncritical strings in arbitrary dimensions, Nucl. Phys. B 368 (1992) 98 [INSPIRE].
C.G. Callan, Jr., E.J. Martinec, M.J. Perry and D. Friedan, Strings in background fields, Nucl. Phys. B 262 (1985) 593 [INSPIRE].
A.A. Tseytlin, σ model Weyl invariance conditions and string equations of motion, Nucl. Phys. B 294 (1987) 383 [INSPIRE].
E.S. Fradkin and A.A. Tseytlin, Effective field theory from quantized strings, Phys. Lett. B 158 (1985) 316 [INSPIRE].
A. Giveon, N. Itzhaki and D. Kutasov, Stringy horizons II, JHEP 10 (2016) 157 [arXiv:1603.05822] [INSPIRE].
A.A. Tseytlin, On the form of the black hole solution in D = 2 theory, Phys. Lett. B 268 (1991) 175 [INSPIRE].
A.A. Tseytlin, On field redefinitions and exact solutions in string theory, Phys. Lett. B 317 (1993) 559 [hep-th/9308042] [INSPIRE].
I. Jack, D.R.T. Jones and J. Panvel, Exact bosonic and supersymmetric string black hole solutions, Nucl. Phys. B 393 (1993) 95 [hep-th/9201039] [INSPIRE].
V. Kazakov, I.K. Kostov and D. Kutasov, A matrix model for the two-dimensional black hole, Nucl. Phys. B 622 (2002) 141 [hep-th/0101011] [INSPIRE].
V. Fateev, A. Zamolodchikov and A. Zamolodchikov, unpublished.
T. Fukuda and K. Hosomichi, Three point functions in sine-Liouville theory, JHEP 09 (2001) 003 [hep-th/0105217] [INSPIRE].
K. Hori and A. Kapustin, Duality of the fermionic 2D black hole and N = 2 Liouville theory as mirror symmetry, JHEP 08 (2001) 045 [hep-th/0104202] [INSPIRE].
A. Giveon, A. Konechny, A. Pakman and A. Sever, Type 0 strings in a 2D black hole, JHEP 10 (2003) 025 [hep-th/0309056] [INSPIRE].
R.C. Myers, Superstring gravity and black holes, Nucl. Phys. B 289 (1987) 701 [INSPIRE].
Y. Chen, Revisiting R4 higher curvature corrections to black holes, arXiv:2107.01533 [INSPIRE].
S.H. Shenker and D. Stanford, Black holes and the butterfly effect, JHEP 03 (2014) 067 [arXiv:1306.0622] [INSPIRE].
A. Kitaev, Hidden correlations in the Hawking radiation and thermal noise, talk given at KITP, http://online.kitp.ucsb.edu/online/joint98/kitaev/, Santa Barbara, CA, U.S.A. (2014).
R.C. Brower, J. Polchinski, M.J. Strassler and C.-I. Tan, The Pomeron and gauge/string duality, JHEP 12 (2007) 005 [hep-th/0603115] [INSPIRE].
J.M. Maldacena and H. Ooguri, Strings in AdS3 and SL(2, R) WZW model 1: the spectrum, J. Math. Phys. 42 (2001) 2929 [hep-th/0001053] [INSPIRE].
S.H. Shenker and D. Stanford, Stringy effects in scrambling, JHEP 05 (2015) 132 [arXiv:1412.6087] [INSPIRE].
K. Sfetsos, On gravitational shock waves in curved space-times, Nucl. Phys. B 436 (1995) 721 [hep-th/9408169] [INSPIRE].
M.R. Douglas, I.R. Klebanov, D. Kutasov, J.M. Maldacena, E.J. Martinec and N. Seiberg, A new hat for the c = 1 matrix model, in From fields to strings: circumnavigating theoretical physics. A conference in tribute to Ian Kogan, (2003), pg. 1758 [hep-th/0307195] [INSPIRE].
G.W. Gibbons and K.-I. Maeda, Black holes and membranes in higher dimensional theories with dilaton fields, Nucl. Phys. B 298 (1988) 741 [INSPIRE].
G.T. Horowitz, The dark side of string theory: black holes and black strings, hep-th/9210119 [INSPIRE].
M.D. McGuigan, C.R. Nappi and S.A. Yost, Charged black holes in two-dimensional string theory, Nucl. Phys. B 375 (1992) 421 [hep-th/9111038] [INSPIRE].
C.V. Johnson, Exact models of extremal dyonic 4D black hole solutions of heterotic string theory, Phys. Rev. D 50 (1994) 4032 [hep-th/9403192] [INSPIRE].
A. Giveon and D. Kutasov, The charged black hole/string transition, JHEP 01 (2006) 120 [hep-th/0510211] [INSPIRE].
A. Giveon and N. Itzhaki, Stringy black hole interiors, JHEP 11 (2019) 014 [arXiv:1908.05000] [INSPIRE].
A. Giveon and N. Itzhaki, Stringy information and black holes, JHEP 06 (2020) 117 [arXiv:1912.06538] [INSPIRE].
D.L. Jafferis and E. Schneider, Stringy ER=EPR, arXiv:2104.07233 [INSPIRE].
G.W. Gibbons and S.W. Hawking, Action integrals and partition functions in quantum gravity, Phys. Rev. D 15 (1977) 2752 [INSPIRE].
V.A. Kazakov and A.A. Tseytlin, On free energy of 2D black hole in bosonic string theory, JHEP 06 (2001) 021 [hep-th/0104138] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2106.02169
Rights and permissions
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.
About this article
Cite this article
Chen, Y., Maldacena, J. String scale black holes at large D. J. High Energ. Phys. 2022, 95 (2022). https://doi.org/10.1007/JHEP01(2022)095
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP01(2022)095