Generalised proofs of the first law of entanglement entropy
Generalised proofs of the first law of entanglement entropy
In this paper we develop generalised proofs of the holographic first law of entanglement entropy using holographic renormalisation. These proofs establish the holographic first law for non-normalizable variations of the bulk metric, hence relaxing the boundary conditions imposed on variations in earlier works. Boundary and counterterm contributions to conserved charges computed via covariant phase space analysis have been explored previously. Here we discuss in detail how counterterm contributions are treated in the covariant phase approach to proving the first law. Our methodology would be applicable to generalizing other holographic information analyses to wider classes of gravitational backgrounds.
hep-th, gr-qc
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
Too, Linus
b76dcfbd-4d76-406d-858c-a38fe181e09a
2 December 2021
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
Too, Linus
b76dcfbd-4d76-406d-858c-a38fe181e09a
Taylor, Marika and Too, Linus
(2021)
Generalised proofs of the first law of entanglement entropy.
Journal of High Energy Physics.
(doi:10.48550/arXiv.2112.00972).
Abstract
In this paper we develop generalised proofs of the holographic first law of entanglement entropy using holographic renormalisation. These proofs establish the holographic first law for non-normalizable variations of the bulk metric, hence relaxing the boundary conditions imposed on variations in earlier works. Boundary and counterterm contributions to conserved charges computed via covariant phase space analysis have been explored previously. Here we discuss in detail how counterterm contributions are treated in the covariant phase approach to proving the first law. Our methodology would be applicable to generalizing other holographic information analyses to wider classes of gravitational backgrounds.
More information
Published date: 2 December 2021
Additional Information:
57 pages
Keywords:
hep-th, gr-qc
Identifiers
Local EPrints ID: 455703
URI: http://eprints.soton.ac.uk/id/eprint/455703
ISSN: 1029-8479
PURE UUID: 12b3c1e6-7910-47ae-8c1e-203d926451ef
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Date deposited: 30 Mar 2022 17:07
Last modified: 17 Mar 2024 03:28
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Author:
Linus Too
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