The Translation Groups as Generators of Gauge Transformation in B$\wedge$F Theory

TL;DR

This paper demonstrates how translation groups within Wigner's little group generate gauge transformations in both Kalb-Ramond and topologically massive B∧F gauge theories, extending known results from Maxwell theory.

Contribution

It reveals the role of T(2) and T(3) translation groups as generators of gauge transformations in B∧F theories, generalizing the Maxwell case.

Findings

T(2) generates gauge transformations in Kalb-Ramond theory.

Both T(2) and T(3) generate gauge transformations in B∧F theory.

Extension of gauge generator understanding from Maxwell to B∧F theories.

Abstract

The translation group T(2), contained in Wigner's little group for massless particles, is shown to generate gauge transformations in the Kalb-Ramond theory, exactly as happens in Maxwell case. For the topologically massive ($B\wedge$F) gauge theory, both T(2) and T(3), act as the corresponding generators.