Interaction of non-Abelian tensor gauge fields

TL;DR

This paper extends the framework of non-Abelian tensor gauge fields by introducing their interactions with fermions and bosons, revealing gauge invariant forms, symmetry properties, and potential mechanisms for mass generation.

Contribution

It introduces two series of gauge invariant forms for interactions, analyzes their symmetry properties, and suggests a mechanism for symmetry breaking and mass generation.

Findings

Existence of two series of gauge invariant interaction forms

Enhanced symmetry in a specific linear combination of forms

Potential mechanism for tensor gauge boson mass generation

Abstract

Recently we introduced an extended vector bundle X on which non-Abelian tensor gauge fields realize a connection. Our aim here is to introduce interaction of these non-Abelian tensor gauge fields with fermions and bosons. We have found that there exist two series of gauge invariant forms describing this interaction. The linear sum of these forms comprises the general gauge invariant Lagrangian. Studying the corresponding Euler-Lagrange equations we found that a particular linear combination of these forms exhibits enhanced symmetry which guarantees the conservation of the corresponding high-rank currents. A possible mechanism of symmetry breaking and mass generation of tensor gauge bosons is suggested.