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.
R. Zucchini (2004). Global Aspects of Abelian and Center Projections in SU(2) Gauge Theory. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 1, 813-846 [10.1142/S0219887804000332].
Global Aspects of Abelian and Center Projections in SU(2) Gauge Theory
ZUCCHINI, ROBERTO
2004
Abstract
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.File in questo prodotto:
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