Entanglement branes in a two-dimensional string theory
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Publication:1705972
DOI10.1007/JHEP09(2017)097zbMATH Open1382.81156arXiv1610.01719WikidataQ57710858 ScholiaQ57710858MaRDI QIDQ1705972
Author name not available (Why is that?)
Publication date: 19 March 2018
Published in: (Search for Journal in Brave)
Abstract: What is the meaning of entanglement in a theory of extended objects such as strings? To address this question we consider the spatial entanglement between two intervals in the Gross-Taylor model, the string theory dual to two-dimensional Yang-Mills theory at large . The string diagrams that contribute to the entanglement entropy describe open strings with endpoints anchored to the entangling surface, as first argued by Susskind. We develop a canonical theory of these open strings, and describe how closed strings are divided into open strings at the level of the Hilbert space. We derive the Modular hamiltonian for the Hartle-Hawking state and show that the corresponding reduced density matrix describes a thermal ensemble of open strings ending on an object at the entangling surface that we call an E-brane.
Full work available at URL: https://arxiv.org/abs/1610.01719
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