RETRACTED: Yang-Mills theory for bundle gerbes

Abstract

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.

v4 This article contains an unfixable flaw in the definition of the gauge group action in section 2.2. On the authors' request the journal version has been retracted. v3 Latex2e, 7 pages, some typos corrected, to appear in J. Phys. A: Math. and Gen

References in corpus (1)

• Higher Yang-Mills Theory

Cited by in corpus (4)

• Higher abelian gauge theory associated to gerbes on noncommutative deformed M5-branes and S-duality
• 3-form Yang-Mills based on 2-crossed modules
• Topological Quantum Field Theory on Non-Abelian Gerbes
• Conformally Invariant Spinorial Equations in Six Dimensions