Open N=2 strings in a B-field background and noncommutative self-dual Yang-Mills

TL;DR

This paper explores how open N=2 strings in a B-field background relate to noncommutative self-dual Yang-Mills theory, providing a detailed action formulation and clarifying previous misconceptions.

Contribution

It introduces an action for fermionic N=2 strings in a B-field background and demonstrates their equivalence to noncommutative self-dual Yang-Mills in the zero-slope limit.

Findings

Open N=2 strings with B-field match noncommutative self-dual Yang-Mills at tree level.

Provides a consistent action for N=2 strings in a B-field background.

Corrects misconceptions from previous literature.

Abstract

In the presence of D-branes, fermionic N=2 strings in 2+2 dimensions can be coupled to a K"ahler NS-NS two-form B. We present the corresponding action which produces N=2 supersymmetric boundary conditions and discuss the Seiberg-Witten zero-slope limit. After recalling the constraints on the Chan-Paton gauge group, we demonstrate for U(n) groups that the open N=2 string with a nonzero B-field coincides on tree level with noncommutative self-dual Yang-Mills. Several misconceptions of hep-th/0011206 are corrected.