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

TL;DR

This paper explores the coupling of anti-symmetric rank-2 tensor matter fields with topological Yang-Mills fields within an extended N_T=2 superspace framework, emphasizing their Q-exact formulations and implications for energy-momentum tensors.

Contribution

It introduces a superspace formulation for rank-2 tensor matter fields coupled to topological Yang-Mills fields, demonstrating their Q-exact actions and observables.

Findings

Both actions are Q-exact, enabling the construction of Q-exact energy-momentum tensors.

The work extends superspace formulations to include rank-2 tensor matter fields.

Coupling of tensor matter to topological gauge fields is explicitly formulated.

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.