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GLOBAL ASPECTS OF ABELIAN AND CENTER PROJECTIONS IN<font>SU</font>(2) GAUGE THEORY

GLOBAL ASPECTS OF ABELIAN AND CENTER PROJECTIONS IN<font>SU</font>(2) GAUGE THEORY

We show that the global aspects of Abelian and center projection of a SU(2) gauge theory on an arbitrary manifold are naturally described in terms of smooth Deligne cohomology. This is achieved through the introduction of a novel type of differential topological structure, called Cho structure. Half integral monopole charges …