Replica trick and string winding

Abstract

We apply the replica trick to compute the entropy of a cylinder amplitude in string theory. We focus on the contribution from non-perturbative winding modes and impose tadpole cancellation to understand the correct prescription for integrating over moduli. Choosing the entangling surface to cut longitudinally over the whole length of the cylinder, we obtain an answer that is interpreted as the entropy of a density matrix. We recast this result in target space language, both in the open and closed string picture.

13 pages, 2 figures

References in corpus (8)

• Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
• Entanglement branes in a two-dimensional string theory
• Left-Right Entanglement Entropy of Boundary States
• Boundary effects in entanglement entropy
• Left-Right Entanglement Entropy, D-Branes, and Level-rank duality
• Entanglement Entropy in the $\sigma$-Model with the de Sitter Target Space
• Decoupling A and B model in open string theory -- Topological adventures in the world of tadpoles
• Left-Right Entanglement Entropy of Dp-branes

Cited by in corpus (3)

• Entanglement, Replicas, and Thetas
• A perturbative expansion for entanglement entropy in string theory
• Entanglement in a Maxwell Theory coupled to a non-relativistic particle