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Supersymmetric Rényi entropy

Supersymmetric Rényi entropy
Supersymmetric Rényi entropy
We consider 3d N≥2 superconformal field theories on a branched covering of a three-sphere. The Rényi entropy of a CFT is given by the partition function on this space, but conical singularities break the supersymmetry preserved in the bulk. We turn on a compensating R-symmetry gauge field and compute the partition function using localization. We define a supersymmetric observable, called the super Rényi entropy, parametrized by a real number q. We show that the super Rényi entropy is duality invariant and reduces to entanglement entropy in the q → 1 limit. We provide some examples.
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. (2013) Supersymmetric Rényi entropy. Journal of High Energy Physics, [155 (2013)]. (doi:10.1007/JHEP10(2013)155).

Record type: Article

Abstract

We consider 3d N≥2 superconformal field theories on a branched covering of a three-sphere. The Rényi entropy of a CFT is given by the partition function on this space, but conical singularities break the supersymmetry preserved in the bulk. We turn on a compensating R-symmetry gauge field and compute the partition function using localization. We define a supersymmetric observable, called the super Rényi entropy, parametrized by a real number q. We show that the super Rényi entropy is duality invariant and reduces to entanglement entropy in the q → 1 limit. We provide some examples.

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Accepted/In Press date: 6 October 2013
Published date: 2013

Identifiers

Local EPrints ID: 477768
URI: http://eprints.soton.ac.uk/id/eprint/477768
DOI: doi:10.1007/JHEP10(2013)155
ISSN: 1126-6708
PURE UUID: a7dce4d1-e45f-41bc-bd6a-32684744e7c4
ORCID for I. Yaakov: ORCID iD orcid.org/0000-0002-4924-2970

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Date deposited: 14 Jun 2023 16:37
Last modified: 17 Mar 2024 04:17

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

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