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A non-abelian self-dual gauge theory in 5 + 1 dimensions

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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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Authors and Affiliations

  1. Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei, 10617, Taiwan, R.O.C.

    Pei-Ming Ho & Kuo-Wei Huang

  2. Department of Physics, Faculty of Science, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo, 113-0033, Japan

    Yutaka Matsuo

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  1. Pei-Ming Ho
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Correspondence to Pei-Ming Ho.

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ArXiv ePrint: 1104.4040

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Ho, PM., Huang, KW. & Matsuo, Y. A non-abelian self-dual gauge theory in 5 + 1 dimensions. J. High Energ. Phys. 2011, 21 (2011). https://doi.org/10.1007/JHEP07(2011)021

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