Mellin space bootstrap for global symmetry

Understand

We apply analytic conformal bootstrap ideas in Mellin space to conformal field theories with $O(N)$ symmetry and cubic anisotropy.

• We write down the conditions arising from the consistency between the operator product expansion and crossing symmetry in Mellin space.
• We solve the constraint equations to compute the anomalous dimension and the OPE coefficients of all operators quadratic in the fields in the epsilon expansion.
• We reproduce known results and derive new results up to $O(\epsilon^3)$.