$\varphif_{4}^{4}-$theory for antisymmetric tensor matter fields in Minkowski space-time

TL;DR

This paper develops a nonabelian extension of an axial gauge model for antisymmetric tensor matter fields, deriving it from a complex self-dual $v^{4}$-type theory in Minkowski space-time.

Contribution

It introduces a nonabelian generalization of a tensor matter field model based on a complex self-dual $v^{4}$-type theory, expanding the theoretical framework for such fields.

Findings

Derived nonabelian model from abelian case

Established connection to complex self-dual $v^{4}$-type theory

Applicable to Minkowski space-time

Abstract

The nonabelian generalization of a recently proposed abelian axial gauge model for tensor matter fields is obtained. In both cases the model can be derived from a $\vf^{4}-$type theory for antisymmetric fields obeying a complex self-dual condition.