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Charging up the functional bootstrap

Ghosh, K and Kaviraj, A and Paulos, MF (2021) Charging up the functional bootstrap. In: Journal of High Energy Physics, 2021 (10).

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Official URL: https://doi.org/10.1007/JHEP10(2021)116

Abstract

We revisit the problem of bootstrapping CFT correlators of charged fields. After discussing in detail how bounds for uncharged fields can be recycled to the charged case, we introduce two sets of analytic functional bases for correlators on the line. The first, which we call �simple�, is essentially a direct sum of analytic functionals for the uncharged case. We use it to establish very general bounds on the OPE density appearing in charged correlators. The second basis is dual to generalized free fields and we explain how it is related to a charged version of the Polyakov bootstrap. We apply these functionals to map out the space of correlators and obtain new improved bounds on the 3d Ising twist defect. © 2021, The Author(s).

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 Authors
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 28 Nov 2021 07:01
Last Modified: 28 Nov 2021 07:01
URI: http://eprints.iisc.ac.in/id/eprint/70426

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