Geometric Aspects of Holographic Bit Threads release_umlnugmiwzddpbbxhqevo26ybi

by Cesar A. Agón, Jan de Boer, Juan F. Pedraza

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abstracts[] {'sha1': 'eca28cacc294b8c771340b3aa933648e125988b4', 'content': 'We revisit the recent reformulation of the holographic prescription to\ncompute entanglement entropy in terms of a convex optimization problem,\nintroduced by Freedman and Headrick. According to it, the holographic\nentanglement entropy associated to a boundary region is given by the maximum\nflux of a bounded, divergenceless vector field, through the corresponding\nregion. Our work leads to two main results: (i) We present a general algorithm\nthat allows the construction of explicit thread configurations in cases where\nthe minimal surface is known. We illustrate the method with simple examples:\nspheres and strips in vacuum AdS, and strips in a black brane geometry.\nStudying more generic bulk metrics, we uncover a sufficient set of conditions\non the geometry and matter fields that must hold to be able to use our\nprescription. (ii) Based on the nesting property of holographic entanglement\nentropy, we develop a method to construct bit threads that maximize the flux\nthrough a given bulk region. As a byproduct, we are able to construct more\ngeneral thread configurations by combining (i) and (ii) in multiple patches. We\napply our methods to study bit threads which simultaneously compute the\nentanglement entropy and the entanglement of purification of mixed states and\ncomment on their interpretation in terms of entanglement distillation. We also\nconsider the case of disjoint regions for which we can explicitly construct the\nso-called multi-commodity flows and show that the monogamy property of mutual\ninformation can be easily illustrated from our constructions.', 'mimetype': 'text/plain', 'lang': 'en'}
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{'index': 1, 'creator_id': None, 'creator': None, 'raw_name': 'Jan de Boer', 'given_name': None, 'surname': None, 'role': 'author', 'raw_affiliation': None, 'extra': None}
{'index': 2, 'creator_id': None, 'creator': None, 'raw_name': 'Juan F. Pedraza', 'given_name': None, 'surname': None, 'role': 'author', 'raw_affiliation': None, 'extra': None}
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language en
license_slug ARXIV-1.0
number YITP-18-37
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release_date 2018-11-21
release_stage submitted
release_type report
release_year 2018
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title Geometric Aspects of Holographic Bit Threads
version v1
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work_id jlcwny5lfjdy5j4no4cge2xtiy
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arxiv.base_id 1811.08879
arxiv.categories ['hep-th', 'gr-qc']
arxiv.comments 48 pages, multiple figures. v3: matches published version
arxiv.journal_ref JHEP 1905 (2019) 075
superceded True