Convexity and Liberation at Large Spin

Understand

We consider several aspects of unitary higher-dimensional conformal field theories (CFTs).

• We first study massive deformations that trigger a flow to a gapped phase.
• Deep inelastic scattering in the gapped phase leads to a convexity property of dimensions of spinning operators of the original CFT.
• We further investigate the dimensions of spinning operators via the crossing equations in the light-cone limit.