Exotic Yang-Mills dilaton gauge theories

Details Exotic Yang-Mills dilaton gauge theories Exotic Yang-Mills dilaton gauge theories

2002-09-25

arxiv.org/abs/math-ph/0209052v4

Lett.Math.Phys. 62 (2002) 245-258

Physics

Mathematical Physics

17 pages

Scientific paper

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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