Dual mapping between the antisymmetric tensor matter field and the Kalb-Ramond field

TL;DR

This paper establishes a duality between the Kalb-Ramond field and antisymmetric tensor matter field actions, demonstrating their correlation functions are equivalent for both Noether and topological currents.

Contribution

It introduces a dual mapping between two field theories, revealing their equivalence at the level of correlation functions for key currents.

Findings

Correlation functions of Noether currents are equivalent.

Correlation functions of topological currents are equivalent.

Duality links the Kalb-Ramond and antisymmetric tensor matter fields.

Abstract

In this work we present a dual mapping between the Kalb-Ramond and antisymmetric tensor matter (ATM) field actions. Our procedure shows that the correlation functions associated with both the Noether current and the topological current are equivalent.