A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions
High Energy Physics - Theory
2011-07-13 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1104.4040,
title = {A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions},
author = {Pei-Ming Ho and Kuo-Wei Huang and Yutaka Matsuo},
journal= {arXiv preprint arXiv:1104.4040},
year = {2011}
}
Comments
23 pages, reference added