Entanglement Entropy in String Compactifications

Abstract

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 $0<N\le 1$ just as in ten dimensions.

17 pages; v2: Minor improvements, published in JHEP

Cited by in corpus (2)

• Quantum Entanglement Index in String Theory
• Heterotic Strings and Quantum Entanglement