Related papers: Finite Entanglement Entropy in String Theory

Finite Entanglement Entropy in String Theory

URL: http://arxiv.org/abs/2306.00990v2
Date: Tue, 24 Sep 2024 12:09:25 GMT
Title: Finite Entanglement Entropy in String Theory
Authors: Atish Dabholkar, Upamanyu Moitra,
Abstract summary: We show that the tachyonic contributions to the orbifold partition function can be appropriately summed and analytically continued to an expression that is finite in the physical region $0 N leq 1$ We discuss the implications of the finiteness of the entanglement entropy for the information paradox, quantum gravity, and holography.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We analyze the one-loop quantum entanglement entropy in ten-dimensional Type-II string theory using the orbifold method by analytically continuing in $N$ the genus-one partition function for string orbifolds on $\mathbb{R}^2/\mathbb{Z}_N$ conical spaces known for all odd integers $N > 1$. We show that the tachyonic contributions to the orbifold partition function can be appropriately summed and analytically continued to an expression that is finite in the physical region $0 < N \leq 1$ resulting in a finite and calculable answer for the entanglement entropy. We discuss the implications of the finiteness of the entanglement entropy for the information paradox, quantum gravity, and holography.

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