Varghese Mathai and David Roberts 2006 J. Phys. A: Math. Gen. 39 6039 doi:10.1088/0305-4470/39/20/027
Varghese Mathai and David Roberts
Show affiliationsGiven 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.
81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
70S15 Yang-Mills and other gauge theories
55Rxx Fiber spaces and bundles (See also 18F15, 32Lxx, 46M20, 57R20, 57R22, 57R25)
58B20 Riemannian, Finsler and other geometric structures (See also 53C20, 53C60)
Issue 20 (19 May 2006)
Received 5 February 2006
Published 3 May 2006
Varghese Mathai and David Roberts 2006 J. Phys. A: Math. Gen. 39 6039
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