Boundary States in B-Field Background

TL;DR

This paper explores how boundary states describe D-branes in a constant B-field background, revealing the role of the two-form field Phi in connecting commutative and noncommutative descriptions through T-duality.

Contribution

It demonstrates that the two-form field Phi acts as an invariant field strength in T-duality and elucidates the algebraic structure of D-branes in B-field backgrounds.

Findings

Phi interpolates between commutative and noncommutative descriptions.

The extended algebra arises naturally from T-dual coordinate relations.

Phi can be interpreted as an invariant field strength in T-duality.

Abstract

We consider the boundary states which describe D-branes in a constant B-field background. We show that the two-form field Phi, which interpolates commutative and noncommutative descriptions of D-branes, can be interpreted as the invariant field strength in the T-dual picture. We also show that the extended algebra parametrized by theta and Phi naturally appears as the commutation relations of the original and the T-dual coordinates.