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AdS3 black holes and a stringy exclusion principle
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“The classical BTZ black hole also undergoes a HP phase transition [167,168].To wit, the canonical free energy F BTZ = -T log Z of a static BTZ black hole is F BTZ = M -T S = - π 2 ℓ 2 3 2G 3 T 2 , (5.99) for temperature T = r + /2πℓ 2 3 .Comparing to the free energy of thermal AdS, F AdS = M AdS = -1/8G 3 , a first-order phase transition occurs at a temperature T HP = 1 2πℓ 3 .”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [167]
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Conformal transformations and strings for an accelerating quark-antiquark pair in AdS 3
Ryang, S. (2015) · Journal of High Energy Physics · doi:10.1007/jhep02(2015)178 · Cited by 2
“We will consider the SL(2, R)L × SL(2, R)R isometry group of the AdS3 spacetime [34, 35] and make this isometry transformation for a simple moving string solution dual to a moving quark with constant velocity to construct the accelerating string solution dual to a uniformly accelerating quark-antiquark pair.”
Method𝒩 = 4 SYM on K3 and the AdS3/CFT2correspondence
Okuyama, K. (2008) · Journal of High Energy Physics · doi:10.1088/1126-6708/2008/02/036 · Cited by 2
“−2πiN aτ + b cτ +d R 2πiN c(cτ +d) . (3.3) It seems natural to identify the exponential factor in (3.3) as the holomorphic part of the classical action of the SL(2,Z) family of BTZ black holes [21] S = −4πN Im aτ + b cτ +d . (3.4) Namely, the partition function ZN of N = 4 SYM on K3 admits a semi-classical expansion o…”
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Naji, J., & Heshmatian, S. (2016) · Canadian Journal of Physics · doi:10.1139/cjp-2015-0784 · Cited by 2
The Free Energy for Rotating and Charged Black Holes and Banados, Teitelboim and Zanelli Black Holes
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Korden, S. (2000) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/0011292 · Cited by 2
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“dinates such that the epsilon tensor is given by txyr = 1. Using (2.12) we have f(0) = 0;f0(0) = 1. Substituting these values we obtain 1 24 8ˇ2 Z B Tr(R^R) = 1 12 (f0(1))2 12 f(1)4 24 : (3.10) 2See [27] below equation (2.1) { 8 { Let us evaluate the boundary term 1 24 8ˇ2 Z Tr(^R) = (f0(1))2 12 : (3.11) Thus putting…”
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David, J. R., Mandal, G., Vaidya, S., et al. (1999) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9906112
“i Substituting the value of β0 in terms of βand taking the limit R→ ∞ we obtain S(BTZ)− S(AdS3) = 1 4πl2G(3) N h πβ0l 2 − π2r +l 2 i (35) For convenience let us define the left and right temperatures [16] as β+ = 2πl2 r+ +r− (36) β− = β¯+ = 2πl2 r+ −r− Using these variables the difference in the action becomes S(BTZ)− S…”
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Metadata
- Authors
- Maldacena, J., & Strominger, A.
- Affiliations
- Harvard University (US)
- Venue
- Journal of High Energy Physics
- Published
- 1998-12-05
- Volume
- 1998
- Issue
- 12
- Pages
- 005-005
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2087092625
- Cited by
- 822
- References
- 3
- Citations by year
- 2026: 19 · 2025: 19 · 2024: 48 · 2023: 24 · 2022: 16 · 2021: 24 · 2020: 24 · 2019: 22 · 2018: 18 · 2017: 25 · 2016: 46 · 2015: 29 · 2014: 26 · 2013: 29 · 2012: 26
- FWCI
- 32.31
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of High Energy Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Funders
- U.S. Department of Energy (DE‐FG02‐)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Mathematics › Geometry and Topology › Algebraic structures and combinatorial models
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Keywords
- AdS3 black holes, orbifolds, AdS/CFT correspondence, BPS states, central charge, black hole entropy, density matrix
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