Morita Equivalence and Interpolation of The Dirac-Born-infeld Theory on the Non-Commutative Torus

TL;DR

This paper explores the Morita equivalence in noncommutative Dirac-Born-Infeld theory with an interpolation field, providing a clearer understanding through both Lagrangian and Hamiltonian formalisms.

Contribution

It introduces a unified analysis of Morita equivalence in noncommutative DBI theory using an interpolation field, enhancing conceptual clarity.

Findings

Morita equivalence is established in both formalisms.

The interpolation field $\Phi$ links DBI and Chern-Simons terms.

The approach clarifies the structure of noncommutative gauge theories.

Abstract

In the noncommutative Dirac-Born-Infeld action with Chern-Simons term, an interpolation field $\Phi$ is used in both DBI action and Chern-Simons term. The Morita equivalence is discussed in both the lagrangian and the Hamiltonian formalisms, which is more transparent in this treatment.