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Supersymmetric Rényi entropy and defect operators

Supersymmetric Rényi entropy and defect operators
Supersymmetric Rényi entropy and defect operators
We describe the defect operator interpretation of the supersymmetric R´enyi
entropies of superconformal field theories in three, four and five dimensions. The operators involved are supersymmetric codimension-two defects in an auxiliary Zn gauge theory coupled to n copies of the SCFT. We compute the exact expectation values of such operators using localization, and compare the results to the supersymmetric R´enyi entropy. The agreement between the two implies a relationship between the partition function on a squashed sphere and the one on a round sphere in the presence of defects.
1126-6708
Nishioka, T.
29c2317b-e45e-4283-ba49-b18f5c4a350e
Yaakov, I.
5b9fd2e5-4b8a-4ee0-9b9e-ee38930a951e
Nishioka, T.
29c2317b-e45e-4283-ba49-b18f5c4a350e
Yaakov, I.
5b9fd2e5-4b8a-4ee0-9b9e-ee38930a951e

Nishioka, T. and Yaakov, I. (2017) Supersymmetric Rényi entropy and defect operators. Journal of High Energy Physics, 2017 (11), [71]. (doi:10.1007/JHEP11(2017)071).

Record type: Article

Abstract

We describe the defect operator interpretation of the supersymmetric R´enyi
entropies of superconformal field theories in three, four and five dimensions. The operators involved are supersymmetric codimension-two defects in an auxiliary Zn gauge theory coupled to n copies of the SCFT. We compute the exact expectation values of such operators using localization, and compare the results to the supersymmetric R´enyi entropy. The agreement between the two implies a relationship between the partition function on a squashed sphere and the one on a round sphere in the presence of defects.

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Supersymmetric Rényi entropy and defect operators - Accepted Manuscript
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Accepted/In Press date: 2 November 2017
Published date: 14 November 2017
Additional Information: Open Access, Copyright The Authors. Article funded by SCOAP3
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Identifiers

Local EPrints ID: 474529
URI: http://eprints.soton.ac.uk/id/eprint/474529
DOI: doi:10.1007/JHEP11(2017)071
ISSN: 1126-6708
PURE UUID: 8754da9e-352f-422e-bf1b-715e1ecbe708
ORCID for I. Yaakov: ORCID iD orcid.org/0000-0002-4924-2970

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Date deposited: 23 Feb 2023 17:55
Last modified: 17 Mar 2024 04:17

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Author: T. Nishioka
Author: I. Yaakov ORCID iD

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