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Entanglement in descendants

Chowdhury, BG and David, JR (2022) Entanglement in descendants. In: Journal of High Energy Physics, 2022 (2).

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Official URL: https://doi.org/10.1007/JHEP02(2022)003


We study the single interval entanglement and relative entropies of conformal descendants in 2d CFT. Descendants contain non-trivial entanglement, though the entanglement entropy of the canonical primary in the free boson CFT contains no additional entanglement compared to the vacuum, we show that the entanglement entropy of the state created by its level one descendant is non-trivial and is identical to that of the U(1) current in this theory. We determine the first sub-leading corrections to the short interval expansion of the entanglement entropy of descendants in a general CFT from their four point function on the n-sheeted plane. We show that these corrections are determined by multiplying squares of appropriate dressing factors to the corresponding corrections of the primary. Relative entropy between descendants of the same primary is proportional to the square of the difference of their dressing factors. We apply our results to a class of descendants of generalized free fields and descendants of the vacuum and show that their dressing factors are universal.

Item Type: Journal Article
Publication: Journal of High Energy Physics
Publisher: Springer Science and Business Media Deutschland GmbH
Additional Information: The copyright for this article belongs to the Authors.
Keywords: Conformal and W Symmetry; Conformal Field Theory; Field Theories in Lower Dimensions
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 27 Jun 2022 05:46
Last Modified: 27 Jun 2022 05:46
URI: https://eprints.iisc.ac.in/id/eprint/73896

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