Anti-symmetric rank-2 Matter Field on Superspace for N_{T}=2

Abstract

In this work, we discuss the interaction between anti-symmetric rank-two tensor matter and topological Yang-Mills fields. The matter field considered here is the rank-2 Avdeev-Chizhov tensor matter field in a suitably extended $N_T=2$ SUSY. We start off from the $N_T=2$, D=4 superspace formulation and we go over to Riemannian manifolds. The matter field is coupled to the topological Yang-Mills field. We show that both actions are obtained as $Q-$exact forms, which allows us to write the energy-momentum tensor as $Q-$exact observables.

10 pages, no figure, LaTeX

References in corpus (2)

• N_T=4 equivariant extension of the 3D topological model of Blau and Thompson
• Topological gauge theories with antisymmetric tensor matter fields