Dimensional Reduction of Nonlinear Gauge Theories
arXiv:hep-th/0407243 · doi:10.1088/1126-6708/2004/09/030
Abstract
We investigate an extension of 2D nonlinear gauge theory from the Poisson sigma model based on Lie algebroid to a model with additional two-form gauge fields. Dimensional reduction of 3D nonlinear gauge theory yields an example of such a model, which provides a realization of Courant algebroid by 2D nonlinear gauge theory. We see that the reduction of the base structure generically results in a modification of the target (algebroid) structure.
20 pages, crucial references added