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Supersymmetric Rényi entropy

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Abstract

We consider 3d \( \mathcal{N}\geq 2 \) 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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  1. Department of Physics, Princeton University, Princeton, NJ, 08544, U.S.A.

    Tatsuma Nishioka & Itamar Yaakov

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  1. Tatsuma Nishioka
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  2. Itamar Yaakov
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Correspondence to Tatsuma Nishioka.

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ArXiv ePrint: 1306.2958

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Nishioka, T., Yaakov, I. Supersymmetric Rényi entropy. J. High Energ. Phys. 2013, 155 (2013). https://doi.org/10.1007/JHEP10(2013)155

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