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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, Plain TeX, no figures

Scientific paper

The classical order parameters for the $\N=2$ 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.

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