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Spontaneous compactification of D=5 two-form gauge fields and the obtainment of Maxwell and Yang-Mills theories

J. Barcelos-Neto
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Abstract

We show that the spontaneous compactification of the Abelian and non-Abelian two-form gauge field theories from $D=4+1$ to $D=3+1$ leads to the same theories plus the Maxwell and Yang-Mills ones, respectively. The vector potential comes from the zero mode of the fifth component of the tensor gauge field in D=5. Concerning to the non-Abelian case, it is necessary to make a more refined definition of the three-form stress tensor in order to be compatible, after the compactification, with the two-form stress tensor of the Yang-Mills theory.

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J. Barcelos-Neto. 2000-07-12. Spontaneous compactification of D=5 two-form gauge fields and the obtainment of Maxwell and Yang-Mills theories. https://arxiv.org/abs/hep-th/9712158

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