Double field formulation of Yang-Mills theory |
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Authors: | Imtak Jeon |
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Affiliation: | a Center for Quantum Spacetime, Sogang University, Shinsu-dong, Mapo-gu, Seoul 121-742, Republic of Korea b Department of Physics, Sogang University, Shinsu-dong, Mapo-gu, Seoul 121-742, Republic of Korea |
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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. |
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Keywords: | Double field theory T-duality Differential geometry |
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