Abstract
We show that in any two dimensional conformal field theory with (2, 2) super-symmetry one can define a supersymmetric analog of the usual Renyi entropy of a spatial region A. It differs from the Renyi entropy by a universal function (which we compute) of the central charge, Renyi parameter n and the geometric parameters of A. In the limit n → 1 it coincides with the entanglement entropy. Thus, it contains the same information as the Renyi entropy but its computation only involves correlation functions of chiral and anti-chiral operators. We also show that this quantity appears naturally in string theory on AdS 3.
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ArXiv ePrint: 1510.08872
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Giveon, A., Kutasov, D. Supersymmetric Renyi entropy in CFT 2 and AdS 3 . J. High Energ. Phys. 2016, 42 (2016). https://doi.org/10.1007/JHEP01(2016)042
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DOI: https://doi.org/10.1007/JHEP01(2016)042