2014/06/24 by Athanasios Chatzistavrakidis, Chatzistavrakidis, Athanasios, Fridrik Freyr Gautason +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.1406.6287
5 pages
arxiv created 2014/06/24 · arxiv updated 2014/06/25
Non-abelian gauge theories in the context of generalized complex geometry are discussed. The generalized connection naturally contains standard gauge and scalar fields, unified in a purely geometric way. We define the corresponding Yang-Mills theory on particular subbundles of a Courant algebroid, known as Dirac structures, where the generalized curvature is a tensor. Different Dirac structures correspond to different known theories, such as the bosonic sector of maximally supersymmetric Yang-Mills in ten and four dimensions and reduced matrix models. Furthermore, we revisit the non-abelian world volume effective action of D-branes in this formalism, where the gauge field on the brane and the transverse scalars are unified, while the action does not contain pullbacks of fields and its consistency with T-duality is verified at face value.