We present new asymptotic formulas for the distribution of OPE coefficients in conformal field theories. These formulas involve products of four or more coefficients and include light-light-heavy as well as heavy-heavy-heavy contributions. They are derived from crossing symmetry of the six and higher point functions on the plane and should be interpreted as non-Gaussianities in the statistical distribution of the OPE coefficients. We begin with a formula for arbitrary operator exchanges (not necessarily primary) valid in any dimension. This is the first asymptotic formula constraining heavy-heavy-heavy OPE coefficients in d > 2. For two-dimensional CFTs, we present refined asymptotic formulas stemming from exchanges of quasi-primaries as well as Virasoro primaries.

Anous, A., Belin, A., de Boer, J., Liska, D. (2022). OPE statistics from higher-point crossing. JOURNAL OF HIGH ENERGY PHYSICS, 2022(6) [10.1007/JHEP06(2022)102].

OPE statistics from higher-point crossing

Belin A;
2022

Abstract

We present new asymptotic formulas for the distribution of OPE coefficients in conformal field theories. These formulas involve products of four or more coefficients and include light-light-heavy as well as heavy-heavy-heavy contributions. They are derived from crossing symmetry of the six and higher point functions on the plane and should be interpreted as non-Gaussianities in the statistical distribution of the OPE coefficients. We begin with a formula for arbitrary operator exchanges (not necessarily primary) valid in any dimension. This is the first asymptotic formula constraining heavy-heavy-heavy OPE coefficients in d > 2. For two-dimensional CFTs, we present refined asymptotic formulas stemming from exchanges of quasi-primaries as well as Virasoro primaries.
Articolo in rivista - Articolo scientifico
AdS-CFT Correspondence; Scale and Conformal Symmetries;
English
Anous, A., Belin, A., de Boer, J., Liska, D. (2022). OPE statistics from higher-point crossing. JOURNAL OF HIGH ENERGY PHYSICS, 2022(6) [10.1007/JHEP06(2022)102].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/396359
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