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arXiv · 1804.05059

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

Kuo-Wei Huang·Radu Roiban·Arkady A. Tseytlin
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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 $(DF)^2+F^3$ 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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Kuo-Wei Huang, Radu Roiban, Arkady A. Tseytlin. 2018-07-04. Self-dual 6d 2-form fields coupled to non-abelian gauge field: quantum corrections. https://doi.org/10.1007/jhep06(2018)134

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