A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions

Details A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions

2011-04-20

arxiv.org/abs/1104.4040v2

JHEP 1107:021,2011

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, reference added

Scientific paper

10.1007/JHEP07(2011)021

We construct a non-Abelian gauge theory of chiral 2-forms (self-dual gauge fields) in 6 dimensions with a spatial direction compactified on a circle of radius R. It has the following two properties. (1) It reduces to the Yang-Mills theory in 5 dimensions for small R. (2) It is equivalent to the Lorentz-invariant theory of Abelian chiral 2-forms when the gauge group is Abelian. Previous no-go theorems prohibiting non-Abelian deformations of the chiral 2-form gauge theory are circumvented by introducing nonlocality along the compactified dimension.

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