Double field formulation of Yang-Mills theory

Abstract

Based on our previous work on the differential geometry for the closed string double field theory, we construct a Yang-Mills action which is covariant under O(D,D) T-duality rotation and invariant under three-types of gauge transformations: non-Abelian Yang-Mills, diffeomorphism and one-form gauge symmetries. In double field formulation, in a manifestly covariant manner our action couples a single O(D,D) vector potential to the closed string double field theory. In terms of undoubled component fields, it couples a usual Yang-Mills gauge field to an additional one-form field and also to the closed string background fields which consist of a dilaton, graviton and a two-form gauge field. Our resulting action resembles a twisted Yang-Mills action.

1+14 pages, no figure; v2 refs added. To appear in Physics Letters B

References in corpus (7)

• Double Field Theory
• Doubled Geometry and T-Folds
• The gauge algebra of double field theory and Courant brackets
• Differential geometry with a projection: Application to double field theory
• Background Field Equations for the Duality Symmetric String
• Duality Symmetric Strings, Dilatons and O(d,d) Effective Actions
• Topological twisting of conformal supercharges