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arXiv · 1306.2958

Supersymmetric Renyi Entropy

Tatsuma Nishioka·Itamar Yaakov
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Abstract

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 define 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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Tatsuma Nishioka, Itamar Yaakov. 2013-06-12. Supersymmetric Renyi Entropy. https://doi.org/10.1007/jhep10(2013)155

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