Entropy function and AdS2/CFT1 correspondence
By Ashoke Sen. 2008
177 citations recorded by the source corpus.
Wald's formula for black hole entropy, applied to extremal black holes, leads to the entropy function formalism. We manipulate the entropy computed this way to express it as the logarithm of the ground state degeneracy of a dual quantum mechanical system. This provides a natural definition of the extremal black hole entropy in the full quantum theory. Our analysis also clarifies the relationship between the entropy function formalism and the Euclidean action formalism.
Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/bf330a02c08f95383a0aa9fa991131d97a5e8575
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In Atomic and Molecular Physics, and Optics
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Quantum black holes, localization, and the topological string (2010, methodology): “We are especially grateful to Ashoke Sen for several illuminating discussions throughout the course of this work.”
- Exact microstate counting for dyonic black holes in AdS4 (2016, methodology): “We notice strong similarities between our formalism and those based on Sen’s entropy functional [11] and the OSV conjecture [12].”
- Holographic entanglement entropy: an overview (2009, methodology): “A formulation based on the entropy function has been done in [146].”
- Arithmetic of quantum entropy function (2009, methodology): “2) concrete we (1)Throughout this paper we shall use the word extremal black hole to denote the extremal limit of a nonextremal black hole as reviewed in [1, 2].”
- Quantum Entropy Function from AdS(2)/CFT(1) Correspondence (2008, background): “We shall argue that the key to defining the quantum corrected black hole entropy is in the partition function ZAdS2 of string theory on AdS2 ×K [22, 23].”
- Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space (2016, background): “In some sense it is, the pure AdS2 limit can only describe the ground states and their entropy [9, 10].”
- Bekenstein-Hawking Entropy and Strange Metals (2015, background): “(8) was established by Sen [15, 16] for a wide class of theories of gravity in the Wald formalism [17–21], in which SBH is generalized to the Wald entropy.”
- Logarithmic corrections to $${\mathcal{N} = 2}$$ black hole entropy: an infrared window into the microstates (2011, methodology): “A proposal for computing quantum corrections to this formula was suggested in [7, 8] by exploiting the presence of AdS2 factors in the near horizon geometry of extremal black holes.”
- Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS5 black holes (2018, methodology): “It would be very interesting if this line of thought can be made more precise as it would then lead to predictions about the subleading quantum properties of supersymmetric black holes similar to the case of black holes in asymptotically flat space, which were governed by the modular transformation ”
- Notes on the complex Sachdev-Ye-Kitaev model (2019, unknown): “Independently, this relationship appeared as a general property of black holes with AdS2 horizons in the work of Sen [23, 24], where E is identified with the electric field on the horizon [5], as noted above.”