Global Aspects of Abelian and Center Projections in SU(2) Gauge Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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43 pages, no figures, requires AMS font files AMSSYM.DEF and amssym.tex. Completely rewritten, corrected and streamlined versi

Scientific paper

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 appear naturally in this framework.

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