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arXiv · 1104.4040

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

Pei-Ming Ho·Kuo-Wei Huang·Yutaka Matsuo
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Abstract

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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Pei-Ming Ho, Kuo-Wei Huang, Yutaka Matsuo. 2011-05-05. A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions. https://doi.org/10.1007/jhep07(2011)021

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