Noncommutative N=2 Strings

TL;DR

This paper investigates open and mixed sector amplitudes of N=2 strings in (2,2) signature with a B field, revealing how topological properties constrain noncommutative field theories and introducing a generalized *-product.

Contribution

It demonstrates the topological constraints on open sector amplitudes and introduces a generalized *-product for mixed sector field theories in the presence of a B field.

Findings

Open sector amplitudes impose nontrivial constraints on noncommutative field theories.

A generalized *-product is formulated for the mixed sector.

Analysis of 4-point functions in the Theta infinity limit.

Abstract

We analyze open and mixed sector tree-level amplitudes of N=2 strings in a space-time with (2,2) signature, in the presence of constant B field. The expected topological nature of string amplitudes in the open sector is shown to impose nontrivial constraints on the corresponding noncommutative field theory. In the mixed sector, we first compute a 3-point function and show that the corresponding field theory is written in terms of a generalized *-product. We also analyze a 4-point function (A_{oooc}) of the mixed sector in Theta ---> infinity limit.