Open String and Morita Equivalence of the Dirac-Born-Infeld Action with Modulus \Phi

TL;DR

This paper explores the relationship between open string theory, T duality, and Morita equivalence in the context of noncommutative Dirac-Born-Infeld actions with a background modulus , demonstrating Morita invariance of the action.

Contribution

It establishes a connection between T duality and Morita equivalence for noncommutative D-brane actions with a background modulus , extending the understanding of invariance properties.

Findings

Constructed the open string propagator from canonical quantization.

Showed the Morita invariance of the noncommutative Dirac-Born-Infeld action.

Linked T duality to Morita equivalence in the presence of a background .

Abstract

Based on the canonical quantization of open strings ending on D-branes with a background B field, we construct the open string propagator. We demonstrate the relation between the T duality of the underlying string theory and the Morita equivalence of the interpolating general Dirac-Born-Infeld theory on a noncommutative torus in the nonzero modulus \Phi sector. The general noncommutative Dirac-Born-Infeld action with the Wess-Zumino terms expressed by the background R-R fields is shown to be Morita invariant.