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arXiv · 2107.12634

A new look at the entanglement entropy of a single interval in a 2d CFT

Jennifer Lin
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Abstract

In this note, I revisit the problem of computing the entanglement entropy of a single interval in the ground state of a 2d CFT. I write the leading-order result in three different ways: once by doing the replica trick with the $n$-replicated cylinder partition function computed in the ``closed string channel"; once by computing the $n$-replicated cylinder partition function in the ``open string channel", where the entanglement entropy can be related to the density of states in a boundary CFT defined on the interval; and for holographic CFTs, once as the log of a Plancherel measure for a certain noncompact quantum group. I comment on the implications for what the Ryu-Takayanagi area term might be counting in holographic CFTs.

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Jennifer Lin. 2021-07-27. A new look at the entanglement entropy of a single interval in a 2d CFT. https://arxiv.org/abs/2107.12634

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