Conformal Field Theories and Deep Inelastic Scattering

Understand

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.