An SLE approach to four dimensional black hole microstate entropy

Paolo Benincasa; Suresh Nampuri

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arXiv · 1701.01864

An SLE approach to four dimensional black hole microstate entropy

Paolo Benincasa·Suresh Nampuri

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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 AdS_2 geometry. We use the framework of SLE curves in AdS_2 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 AdS_2 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.

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Paolo Benincasa, Suresh Nampuri. 2017-01-07. An SLE approach to four dimensional black hole microstate entropy. https://arxiv.org/abs/1701.01864

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