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OPE statistics from higher-point crossing
- Source :
- JHEP 06 (2022) 102
- Publication Year :
- 2021
-
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.<br />Comment: 30 pages + appendices, 7 figures; v2 references and footnotes added
- Subjects :
- High Energy Physics - Theory
Subjects
Details
- Database :
- arXiv
- Journal :
- JHEP 06 (2022) 102
- Publication Type :
- Report
- Accession number :
- edsarx.2112.09143
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/JHEP06(2022)102