  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.

High Energy Physics - Theory