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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 $(DF)^2+F^3$ 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.
Forward citations
Cited by 1 Pith paper
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On Covariant Actions for Chiral $p-$Forms
A polynomial, Lorentz-covariant action for free chiral p-forms is presented, equivalent to PST and featuring an auxiliary p-form.
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