Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP10(2013)155
Keywords
Supersymmetry and Duality; Extended Supersymmetry; Supergravity Models
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Funding
- NSF [PHY-0756966]
- Direct For Mathematical & Physical Scien
- Division Of Physics [1314198] Funding Source: National Science Foundation
- Division Of Physics
- Direct For Mathematical & Physical Scien [0756966] Funding Source: National Science Foundation
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We consider 3d N >= 2 superconformal field theories on a branched covering of a three-sphere. The Renyi 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 de fine a supersymmetric observable, called the super Renyi entropy, parametrized by a real number q. We show that the super Renyi entropy is duality invariant and reduces to entanglement entropy in the q -> 1 limit. We provide some examples.
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