Charged Rényi entropies in CFTs with Einstein-Gauss-Bonnet holographic duals

DOI10.1007/JHEP11(2014)007zbMATH Open1333.83108arXiv1404.1309OpenAlexW2088322784MaRDI QIDQ271357

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Publication date: 7 April 2016

Published in: (Search for Journal in Brave)

Abstract: We calculate the R'enyi entropy $S_q(mu,lambda)$, for a spherical entangling surface in CFT's with Einstein-Gauss-Bonnet-Maxwell holographic duals. R'enyi entropies must obey some interesting inequalities by definition. However, for Gauss-Bonnet couplings $lambda$, larger than a specific value, but still allowed by causality, we observe a violation of the inequality $fracpartialpartialqleft(fracq-1q{S}_q(mu,lambda)ight)ge0$, which is related to the existence of negative entropy black holes, providing interesting restrictions in the bulk theory. Moreover, we find an interesting distinction of the behaviour of the analytic continuation of $S_q(mu,lambda)$ for imaginary chemical potential, between negative and non-negative $lambda$.

Full work available at URL: https://arxiv.org/abs/1404.1309

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