Entanglement Entropy in String Compactifications

Fuente: arXiv
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Main Authors: Dabholkar, Atish, Moitra, Upamanyu
Format: Preprint
Published: 2023
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author Dabholkar, Atish
Moitra, Upamanyu
author_facet Dabholkar, Atish
Moitra, Upamanyu
contents We consider $\mathbb{Z}_N$ orbifolds of Type-II compactifications to four and six dimensions on several Calabi-Yau manifolds in the orbifold limit with the aim to compute the entanglement entropy. The spectrum can contain tachyons in the doubly-twisted sectors which can lead to new infrared divergences for the partition function that are not present in the orbifolds of the uncompactified ten-dimensional theory. We show that all tachyonic contributions in these models admit a resummation and analytic continuation that yields finite entropy in the physical region $0 < N \leq 1$ just as in ten dimensions.
format Preprint
id arxiv_https___arxiv_org_abs_2310_13735
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Entanglement Entropy in String Compactifications
Dabholkar, Atish
Moitra, Upamanyu
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Mathematical Physics
Quantum Physics
We consider $\mathbb{Z}_N$ orbifolds of Type-II compactifications to four and six dimensions on several Calabi-Yau manifolds in the orbifold limit with the aim to compute the entanglement entropy. The spectrum can contain tachyons in the doubly-twisted sectors which can lead to new infrared divergences for the partition function that are not present in the orbifolds of the uncompactified ten-dimensional theory. We show that all tachyonic contributions in these models admit a resummation and analytic continuation that yields finite entropy in the physical region $0 < N \leq 1$ just as in ten dimensions.
title Entanglement Entropy in String Compactifications
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
Mathematical Physics
Quantum Physics
url https://arxiv.org/abs/2310.13735