Topological gauge theories with antisymmetric tensor matter fields

TL;DR

This paper introduces novel topological matter interactions involving antisymmetric tensor fields within supersymmetric frameworks, explicitly constructing models in four dimensions with various topological supersymmetries.

Contribution

It proposes new topological matter interactions with tensor fields and constructs explicit models in four dimensions with different topological supersymmetries.

Findings

Constructed 4D N_T=1 Donaldson-Witten theory with tensor matter

Developed N_T=1 super-BF model incorporating tensor fields

Formulated N_T=2 topological B-model with tensor matter

Abstract

A new type of topological matter interactions involving second-rank antisymmetric tensor matter fields with an underlying $N_T \geq 1$ topological supersymmetry are proposed. The construction of the 4-dimensional, $N_T = 1$ Donaldson-Witten theory, the $N_T = 1$ super-BF model and the $N_T = 2$ topological B-model with tensor matter are explicitly worked out.