Yang-Mills theory for bundle gerbes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex2e, 7 pages, some typos corrected, to appear in J. Phys. A: Math. and Gen

Scientific paper

10.1088/0305-4470/39/20/027

Given a bundle gerbe with connection on an oriented Riemannian manifold of dimension at least equal to 3, we formulate and study the associated Yang-Mills equations. When the Riemannian manifold is compact and oriented, we prove the existence of instanton solutions to the equations and also determine the moduli space of instantons, thus giving a complete analysis in this case. We also discuss duality in this context.

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