scholarly journals Logarithmic corrections to extremal black hole entropy from quantum entropy function

2011 ◽  
Vol 2011 (3) ◽  
Author(s):  
Shamik Banerjee ◽  
Rajesh K. Gupta ◽  
Ashoke Sen
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Entropy Function ◽  
Quantum Entropy ◽  
Extremal Black Hole ◽  
Logarithmic Corrections

scholarly journals QUANTUM ENTROPY FUNCTION FROM AdS2/CFT1 CORRESPONDENCE

2009 ◽  
Vol 24 (23) ◽  
pp. 4225-4244 ◽  
Author(s):  
ASHOKE SEN
Keyword(s):  
Black Hole ◽  
Partition Function ◽  
Classical Limit ◽  
Black Hole Entropy ◽  
Entropy Function ◽  
Quantum Entropy ◽  
Extremal Black Hole ◽  
Statistical Entropy ◽  
Specific Relation ◽  
Horizon Geometry

We review and extend recent attempts to find a precise relation between extremal black hole entropy and degeneracy of microstates using AdS 2/ CFT 1 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.

scholarly journals Near extremal black hole entropy as entanglement entropy viaAdS2/CFT1

2008 ◽  
Vol 77 (6) ◽  
Author(s):  
Tatsuo Azeyanagi ◽  
Tatsuma Nishioka ◽  
Tadashi Takayanagi
Keyword(s):  
Black Hole ◽  
Entanglement Entropy ◽  
Black Hole Entropy ◽  
Extremal Black Hole

scholarly journals EXTREMAL BLACK HOLES AND ELEMENTARY STRING STATES

1995 ◽  
Vol 10 (28) ◽  
pp. 2081-2093 ◽  
Author(s):  
ASHOKE SEN
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Black Hole Entropy ◽  
Extremal Black Hole ◽  
Coupling Constant ◽  
Left Handed ◽  
Quantum Numbers ◽  
Independent Parameters ◽  
Elementary String ◽  
Extremal Black Holes

Some of the extremal black hole solutions in string theory have the same quantum numbers as the Bogomol’nyi saturated elementary string states. We explore the possibility that these black holes can be identified with elementary string excitations. It is shown that stringy effects could correct the Bekenstein-Hawking formula for the black hole entropy in such a way that it correctly reproduces the logarithm of the density of elementary string states. In particular, this entropy has the correct dependence on three independent parameters, the mass and the left-handed charge of the black hole, and the string coupling constant.

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