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Entropy Functions for Accelerating Black Holes
Andrea Boido1, Jerome P Gauntlett2, Dario Martelli3,4
1Mathematical Institute, University of Oxford, Woodstock Road, Oxford OX2 6GG, United Kingdom.
Physical Review Letters
|March 17, 2023
Summary
We developed a new entropy function for supersymmetric black holes in anti-de Sitter space, enabling entropy calculation without explicit solutions. This links to holographic microstate counting via Chern-Simons theories.
Area of Science:
- Theoretical Physics
- String Theory
- Black Hole Thermodynamics
Background:
- Supersymmetric black holes in anti-de Sitter space are crucial for understanding quantum gravity.
- Uplifting these black holes to M-theory solutions on Sasaki-Einstein manifolds provides a framework for holographic duality.
- Calculating black hole entropy directly from microstates is a key challenge in theoretical physics.
Purpose of the Study:
- To introduce a novel entropy function for specific supersymmetric black holes.
- To enable computation of black hole entropy without requiring explicit solution forms.
- To establish a connection between black hole entropy and holographic microstate counting.
Main Methods:
- Development of a new entropy function for accelerating black holes.
- Utilizing M-theory uplift on Sasaki-Einstein manifolds.
- Connecting to supersymmetric partition functions of Chern-Simons-matter theories.
Main Results:
- A method to compute black hole entropy is presented, bypassing the need for explicit solutions.
- A prediction is made for holographic microstate counting via partition functions of specific quantum field theories.
- The concept of 'blocks' derived from three-sphere partition functions is introduced.
Conclusions:
- The study provides a new tool for analyzing black hole entropy in a holographic context.
- It bridges the gap between black hole thermodynamics and quantum field theory counts.
- The findings pave the way for further investigations into holographic duality and quantum gravity.
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