The OPE meets semiclassics

Abstract

We show that the correlator of three large charge operators with minimal scaling dimension can be computed semiclassically in CFTs with a $U(1)$ symmetry for arbitrary fixed values of the ratios of their charges. We obtain explicitly the OPE coefficient from the numerical solution of a nonlinear boundary value problem in the conformal superfluid EFT in $3d$. The result applies in all three-dimensional CFTs with a $U(1)$ symmetry whose large charge sector is a superfluid.

6 pages+appendices, 4 figures v2 journal version

References in corpus (7)

• Comments on operators with large spin
• Low-Energy Quantum Effective Action for Relativistic Superfluids
• A new handle on three-point coefficients: OPE asymptotics from genus two modular invariance
• On the Large $R$-charge Expansion in $\mathcal{N}=2$ Superconformal Field Theories
• Feynman diagrams and the large charge expansion in $3-\epsilon$ dimensions
• Operator Dimensions from Moduli
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Cited by in corpus (2)

• On the exponentially small corrections to $\mathcal{N}=2$ superconformal correlators at large R-charge
• Large R-charge EFT correlators in N=2 SQCD