Light-Front Bootstrap for Chern-Simons Matter Theories

Understand

We propose a new approach to solve conformal field theories and apply it to Chern-Simons Matter theories and three-dimensional bosonization duality.

• All three-point correlation functions of single-trace operators are obtained in the large-$N$ as a simple application.
• The idea is to construct, as an effective weakly-coupled theory, a nonlinear realization of the conformal algebra in terms of physical, gauge-invariant, operators.
• The efficiency of the method is also in the use of an analog of the light-cone gauge and of the momentum-space on the CFT side.