An SLE approach to four dimensional black hole microstate entropy

2017/01/07 by Paolo Benincasa, Benincasa, Paolo, Suresh Nampuri +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1701.01864

31 pages, 3 figures

arxiv created 2017/01/07 · openalex publication_date 2017/01/07 · arxiv updated 2017/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we model the Bekenstein-Hawking entropy of a four dimensional extremal black hole in terms of classifying particles moving in its near horizon AdS₂ geometry. We use the framework of SLE curves in AdS₂ to classify these particle trajectories in terms of their boundary conditions. These turn out to be related to singular vectors in two-dimensional conformal quantum gravity theory in AdS₂ and the dynamics of these particles are governed by the Hamiltonians of the integrable Calogero-like models, for these boundary conditions. We use this classification to count the leading order Bekenstein-Hawking entropy of the black hole and arrive at a first principle microscopic computation of black hole degeneracy.

Citations

• Solution of the One-Dimensional N-Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials

Cited by

• An approach to BPS black hole microstate counting in an N = 2 STU model

Related

• The Resolution of an Entropy Puzzle for 4D non-BPS Black Holes
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Microscopic Origin of the Entropy of Single-sided Black Holes
• Microstates and statistical entropy of observed black holes
• Non-extensive Statistical Mechanics and Black Hole Entropy From Quantum Geometry