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  • Letter
  • Open Access

Finite entanglement entropy in string theory

Atish Dabholkar and Upamanyu Moitra

Phys. Rev. D 109, L121901 – Published 10 June, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.L121901

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 R2/ZN 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≤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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