A new handle on three-point coefficients: OPE asymptotics from genus two modular invariance
High Energy Physics - Theory
2017-11-22 v1 Statistical Mechanics
Abstract
We derive an asymptotic formula for operator product expansion coefficients of heavy operators in two dimensional conformal field theory. This follows from modular invariance of the genus two partition function, and generalises the asymptotic formula for the density of states from torus modular invariance. The resulting formula is universal, depending only on the central charge, but involves the asymptotic behaviour of genus two conformal blocks. We use monodromy techniques to compute the asymptotics of the relevant blocks at large central charge to determine the behaviour explicitly.
Cite
@article{arxiv.1705.05855,
title = {A new handle on three-point coefficients: OPE asymptotics from genus two modular invariance},
author = {John Cardy and Alexander Maloney and Henry Maxfield},
journal= {arXiv preprint arXiv:1705.05855},
year = {2017}
}
Comments
32 pages, 2 figures, 1 appendix, 2 moose, a bear and an ox