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arXiv · 2306.00990

Finite Entanglement Entropy in String Theory

Atish Dabholkar·Upamanyu Moitra
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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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Atish Dabholkar, Upamanyu Moitra. 2023-06-01. Finite Entanglement Entropy in String Theory. https://doi.org/10.1103/physrevd.109.l121901

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