Conformal Field Theories and Deep Inelastic Scattering
Zohar Komargodski, Manuela Kulaxizi, Andrei Parnachev, and Alexander, Zhiboedov
TL;DR
This paper investigates constraints on operator product expansion data in unitary conformal field theories using deep inelastic scattering thought experiments, deriving new bounds on higher-spin operators.
Contribution
It introduces novel positivity bounds for OPE coefficients of higher-spin operators in CFTs, extending known results for stress tensors.
Findings
Reproduces Hofman-Maldacena bounds for spin-2 operators.
Derives new bounds for operators with spin greater than 2.
Establishes positivity constraints on minimal-twist operators.
Abstract
We consider Deep Inelastic Scattering (DIS) thought experiments in unitary Conformal Field Theories (CFTs). We explore the implications of the standard dispersion relations for the OPE data. We derive positivity constraints on the OPE coefficients of minimal-twist operators of even spin s \geq 2. In the case of s=2, when the leading-twist operator is the stress tensor, we reproduce the Hofman-Maldacena bounds. For s>2 the bounds are new.
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