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Entanglement of Local Operators in large N CFTs

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arxiv 1405.5946 v2 pith:B7MGR76W submitted 2014-05-23 hep-th cond-mat.str-elquant-ph

Pawel Caputa , Masahiro Nozaki , Tadashi Takayanagi This is my paper
classification hep-thcond-mat.str-elquant-ph
keywords entanglementlargeentropylocalcftsexcitedrenyioperator
verification ladder T0 review T1 audit T2 compute T3 formal
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We study Renyi and von-Neumann entanglement entropy of excited states created by local operators in large N (or large central charge) CFTs. First we point that a naive large N expansion can break down for the von-Neumann entanglement entropy, while it does not for the Renyi entanglement entropy. This happens even for the excited states in free Yang-Mills theories. Next, we analyze strongly coupled large N CFTs from both field theoretic and holographic viewpoints. We find that the Renyi entanglement entropy of the excited state produced by a local operator, grows logarithmically under its time evolution and its coefficient is proportional to the conformal dimension of the local operator.

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Cited by 6 Pith papers

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