Finite Entanglement Entropy in String Theory

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 $0<N\le 1$ 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.

6 pages; two-column format; v2: Minor comments added, published in Phys. Rev. D as a Letter

References in corpus (2)

• Holographic representation of local bulk operators
• Nonperturbative black hole entropy and Kloosterman sums

Cited by in corpus (4)

• Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime
• Quantum Entanglement Index in String Theory
• Heterotic Strings and Quantum Entanglement
• Fiducial observers and the thermal atmosphere in the black hole quantum throat