Abstract:
The structure S-matrix in matter Chern-Simons theories is different from the S-matrix in trivially gapped theories. In this project, we present a conjecture for the structure, compounding and crossing rules for matter Chern-Simons theories, which hold even at finite N and k. This is done by the use of the Worldline formalism and the inherent topological nature of the pure Chern-
Simons theories. For 2 → 2 scattering of fundamental particles in matter Chern-Simons theories with gauge group SU(N)_k and U(N)_k theories, we find the crossing rules to be q-deformations, with q = e^(2π/κ), of the classical crossing symmetry rules.
