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Exotic Yang-Mills dilaton gauge theories

Stephen C. Anco
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Abstract

A exotic class of nonlinear p-form nonabelian gauge theories is studied, arising from the most general allowed nontrivial deformation of linear abelian gauge theory for a set of massless 1-form fields and 2-form fields in four dimensions. These theories combine a Chapline-Manton type coupling of the 1-forms and 2-forms, along with a Yang-Mills coupling of the 1-forms, a Freedman-Townsend coupling of the 2-forms, and an extended Freedman-Townsend type coupling between the 1-forms and 2-forms. It is shown that the resulting theories have a geometrically interesting dual formulation that is equivalent to an exotic Yang-Mills dilaton theory involving a nonlinear sigma field. In particular, the nonlinear sigma field couples to the Yang-Mills 1-form field through a generalized Chern class 4-form term.

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Stephen C. Anco. 2003-03-02. Exotic Yang-Mills dilaton gauge theories. https://arxiv.org/abs/math-ph/0209052

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