• Corpus ID: 119331202

An SLE approach to four dimensional black hole microstate entropy

@article{Benincasa2017AnSA,
  title={An SLE approach to four dimensional black hole microstate entropy},
  author={Paolo Benincasa and Suresh Nampuri},
  journal={arXiv: High Energy Physics - Theory},
  year={2017}
}

• P. Benincasa, S. Nampuri
• Published 7 January 2017
• Physics
• arXiv: High Energy Physics - Theory

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.