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Topologically Nontrivial Sectors of Maxwell Field Theory on Riemann Surfaces

Franco Ferrari

hep-tharXiv:hep-th/9611191

Abstract

In this paper the Maxwell field theory is considered on a closed and orientable Riemann surface of genus h>1. The solutions of the Maxwell equations corresponding to nontrivial values of the first Chern class are explicitly constructed for any metric in terms of the prime form.

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