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A formula for the relative entropy in chiral CFT

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Abstract

We prove the QNEC on the Virasoro nets for a class of unitary states extending the coherent states, that is states obtained by applying an exponentiated stress energy tensor to the vacuum. We also verify the Bekenstein Bound by computing the relative entropy on a bounded interval.

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Acknowledgements

I deeply thank Roberto Longo for suggesting me the problem and for the encouragement, and Yoh Tanimoto and Simone del Vecchio for useful comments.

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  1. Dipartimento di Matematica, Universitá di Roma “La Sapienza”, Piazzale Aldo Moro 5, 00185, Rome, Italy

    Lorenzo Panebianco

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  1. Lorenzo Panebianco
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Correspondence to Lorenzo Panebianco.

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Panebianco, L. A formula for the relative entropy in chiral CFT. Lett Math Phys 110, 2363–2381 (2020). https://doi.org/10.1007/s11005-020-01296-8

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  • DOI: https://doi.org/10.1007/s11005-020-01296-8

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