Quantum Entanglement on Black Hole Horizons in String Theory and Holography

• URL: http://arxiv.org/abs/2312.14253v2
• Date: Tue, 24 Sep 2024 12:47:08 GMT
• Title: Quantum Entanglement on Black Hole Horizons in String Theory and Holography
• Authors: Atish Dabholkar, Upamanyu Moitra,
• Abstract summary: We compute the exact one-loop partition function of $mathbbZ_N$ orbifolds of Euclidean BTZ black hole. We analyze the tachyonic contribution to the modular integrand for the partition function known for odd integers $N>1$.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We compute the exact one-loop partition function of $\mathbb{Z}_N$ orbifolds of Euclidean BTZ black hole with the aim to compute the entanglement entropy of the black hole horizon in string theory as a function of the mass and spin of the black hole and the $\mathrm{AdS}_3$ radius. We analyze the tachyonic contribution to the modular integrand for the partition function known for odd integers $N>1$ and show that it admits an analytic continuation resulting in a finite answer for the modular integral in the physical region $0< N \leq 1$. We discuss the flat space limit and the relevance of this computation for quantum gravity near black hole horizons and holography in relation to the thermal entropy.

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