Order Parameters, Free Fermions, and Conservation Laws for Calogero-Moser Systems

Abstract

The classical order parameters for the $\mathbb{N}=2$ supersymmetric SU(N) gauge theory with matter in the adjoint representation are exhibited explicitly as conservation laws for the elliptic Calogero-Moser system. Central to the construction are certain elliptic function identities, which arise from considering Feynman diagrams in a theory of free fermions with twisted boundary conditions.

14 pages, Plain TeX, no figures