Monodromy methods for torus conformal blocks and entanglement entropy at large central charge
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Publication:1980682
DOI10.1007/JHEP08(2021)143zbMATH Open1469.81005arXiv2101.11642OpenAlexW3197003276MaRDI QIDQ1980682
Author name not available (Why is that?)
Publication date: 8 September 2021
Published in: (Search for Journal in Brave)
Abstract: We compute the entanglement entropy in a two dimensional conformal field theory at finite size and finite temperature in the large central charge limit via the replica trick. We first generalize the known monodromy method for the calculation of conformal blocks on the plane to the torus. Then, we derive a monodromy method for the zero-point conformal blocks of the replica partition function. We explain the differences between the two monodromy methods before applying them to the calculation of the entanglement entropy. We find that the contribution of the vacuum exchange dominates the entanglement entropy for a large class of CFTs, leading to universal results in agreement with holographic predictions from the RT formula. Moreover, we determine in which regime the replica partition function agrees with a correlation function of local twist operators on the torus.
Full work available at URL: https://arxiv.org/abs/2101.11642
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