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A String Theoretic Derivation of Gibbons-Hawking Entropy
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abstract
We describe an attempt of string theoretic derivation of the Gibbons-Hawking entropy. Despite not admitting a de Sitter vacuum, the string theory, by the power of open-close correspondence, captures the Gibbons-Hawking entropy as the entropy of Chan-Paton species on a de Sitter-like state obtained via $D$-branes. Moreover, this derivation sheds a new light at the origin of the area-form, since the equality takes place for a critical 't Hooft coupling for which the species entropy of open strings saturates the area-law unitarity bound.
Forward citations
Cited by 2 Pith papers
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Information-Theoretic Black Hole Entropy I: Beyond the Area Law
Black hole entropy is proposed to equal the Kullback-Leibler divergence between a mass-biased N-bit ensemble and the uniform ensemble, with the area law as the leading 1/N term.
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Information--Theoretic Black Hole Entropy II: Infrared Gravity and Charged/Rotating Extensions
A perturbative infrared deformation of general relativity, with coefficients fixed by matching, reproduces the proposed third-law-compatible black hole entropy, and the same formula extends to Kerr-Newman black holes ...
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