Genus two partition functions and Rényi entropies of largecconformal field theories

DOI10.1088/1751-8121/AA8A11zbMATH Open1377.81153arXiv1704.08250OpenAlexW3102739375MaRDI QIDQ4596143

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Publication date: 30 November 2017

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Abstract: We compute genus two partition functions in two dimensional conformal field theories at large central charge, focusing on surfaces that give the third Renyi entropy of two intervals. We compute this for generalized free theories and for symmetric orbifolds, and compare it to the result in pure gravity. We find a new phase transition if the theory contains a light operator of dimension $Deltaleq0.19$. This means in particular that unlike the second Renyi entropy, the third one is no longer universal.

Full work available at URL: https://arxiv.org/abs/1704.08250

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