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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
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Summary
This summary is machine-generated.

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.

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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.