Self-dual 6d 2-form fields coupled to non-abelian gauge field: quantum corrections

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Abstract

We study a 6d model of a set of self-dual 2-form B-fields interacting with a non-abelian vector A-field which is restricted to a 5d subspace. One motivation is that if the gauge vector could be expressed in terms of the B-field or integrated out, this model could lead to an interacting theory of B-fields only. Treating the 5d gauge vector as a background field, we compute the divergent part of the corresponding one-loop effective action which has the (DF)2 + F3 structure and compare it with similar contributions from other 6d fields. We also discuss a 4d analog of the non-abelian self-dual model, which turns out to be UV finite.

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Huang, K. W., Roiban, R., & Tseytlin, A. A. (2018). Self-dual 6d 2-form fields coupled to non-abelian gauge field: quantum corrections. Journal of High Energy Physics, 2018(6). https://doi.org/10.1007/JHEP06(2018)134

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