Entanglement entropy and edge modes in topological string theory. I: Generalized entropy for closed strings.
From MaRDI portal
Publication:825825
DOI10.1007/JHEP10(2021)201zbMATH Open1476.83155arXiv2010.15737OpenAlexW3207980549MaRDI QIDQ825825
Author name not available (Why is that?)
Publication date: 17 December 2021
Published in: (Search for Journal in Brave)
Abstract: Progress in identifying the bulk microstate interpretation of the Ryu-Takayanagi formula requires understanding how to define entanglement entropy in the bulk closed string theory. Unfortunately, entanglement and Hilbert space factorization remains poorly understood in string theory. As a toy model for AdS/CFT, we study the entanglement entropy of closed strings in the topological A-model in the context of Gopakumar-Vafa duality. We will present our results in two separate papers. In this work, we consider the bulk closed string theory on the resolved conifold and give a self-consistent factorization of the closed string Hilbert space using extended TQFT methods. We incorporate our factorization map into a Frobenius algebra describing the fusion and splitting of Calabi-Yau manifolds, and find string edge modes transforming under a -deformed surface symmetry group. We define a string theory analogue of the Hartle-Hawking state and give a canonical calculation of its entanglement entropy from the reduced density matrix. Our result matches with the geometrical replica trick calculation on the resolved conifold, as well as a dual Chern-Simons theory calculation which will appear in our next paper cite{secondpaper}. We find a realization of the Susskind-Uglum proposal identifying the entanglement entropy of closed strings with the thermal entropy of open strings ending on entanglement branes. We also comment on the BPS microstate counting of the entanglement entropy. Finally we relate the nonlocal aspects of our factorization map to analogous phenomenon recently found in JT gravity.
Full work available at URL: https://arxiv.org/abs/2010.15737
No records found.
No records found.
This page was built for publication: Entanglement entropy and edge modes in topological string theory. I: Generalized entropy for closed strings.
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q825825)
