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A string theoretic derivation of gibbons-hawking entropy
Gia Dvali1,2
1Arnold Sommerfeld Center, Ludwig-Maximilians-University, Munich, Germany.
General Relativity and Gravitation
|August 5, 2025
Summary
This study attempts a string theory derivation of Gibbons-Hawking entropy. It reveals this entropy arises from Chan-Paton species on D-branes in a de Sitter-like state, clarifying the area-form origin.
Area of Science:
- Theoretical Physics
- String Theory
- Quantum Gravity
Background:
- The Gibbons-Hawking entropy is a key concept in black hole thermodynamics.
- Deriving this entropy from fundamental principles, such as string theory, remains a significant challenge.
Purpose of the Study:
- To perform a string theoretic derivation of the Gibbons-Hawking entropy.
- To elucidate the origin of the area-form in this context.
Main Methods:
- Utilizing string theory with open-close string correspondence.
- Analyzing D-branes and their associated Chan-Paton species.
- Investigating a de Sitter-like state within the string theory framework.
Main Results:
- The Gibbons-Hawking entropy is successfully captured as the entropy of Chan-Paton species.
- This occurs on a de Sitter-like state generated by D-branes.
- The derivation highlights a critical 't Hooft coupling where species entropy saturates the area-law unitarity bound.
Conclusions:
- String theory provides a framework for deriving Gibbons-Hawking entropy, even without a de Sitter vacuum.
- The open-close correspondence and D-brane states are crucial for this derivation.
- The study offers new insights into the origin of the area-form in quantum gravity.
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