Quantum Entropy Function from AdS(2)/CFT(1) Correspondence

By Ashoke Sen. 2008

298 citations recorded by the source corpus.

We review and extend recent attempts to find a precise relation between extremal black hole entropy and degeneracy of microstates using AdS2/CFT1 correspondence. Our analysis leads to a specific relation between degeneracy of black hole microstates and an appropriately defined partition function of string theory on the near horizon geometry — named the quantum entropy function. In the classical limit this reduces to the usual relation between statistical entropy and Wald entropy.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3238074ad87e7fecd560f31defbc32ea7b3e4cdc

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Citations in the corpus

Holographic Description of AdS_2 Black Holes (2008, background): “There have been several interesting attempts at implementing this strategy [2, 3, 4, 5, 6, 7, 8, 9, 10] but AdS2 holography remains enigmatic, at least compared with the much more straightforward case of AdS3 holography.”
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.”
Logarithmic corrections to rotating extremal black hole entropy in four and five dimensions (2011, methodology): “It has been argued in detail in [23, 31] that on the black hole side the exponential of the entropy in fact computes an index.”
Near Extremal Kerr Entropy from AdS(2) Quantum Gravity (2009, methodology): “We chose that term so that Bt becomes a complete square, because this is the correct gauge for applications to black holes [31].”
Logarithmic corrections to extremal black hole entropy from quantum entropy function (2010, methodology): “As a result it is completely well defined once we adopt the infrared subtraction procedure described in [50].”