Noncommutativity in linear dilaton background

TL;DR

This paper explores how noncommutative space-time coordinates emerge in open string theories within linear dilaton backgrounds, including supersymmetric extensions, and relates these phenomena to string equations of motion.

Contribution

It introduces a detailed analysis of noncommutativity in linear dilaton backgrounds and presents a supersymmetric generalization of these theories.

Findings

Noncommutativity arises in open string theories with linear dilaton backgrounds.

The results connect noncommutativity to string equations of motion.

Supersymmetric extensions of these theories are constructed.

Abstract

We consider quantization of open string theories in linear dilaton and constant antisymmetric tensor backgrounds and discuss the noncommutativity of space-time coordinates arising in such theories, including their relationship with light-like noncommutativity as well as backgrounds with null isometries. It is argued that the results can also be understood using space-time equations of motion of the string modes. We then present N= 2 supersymmetric generalization of these theories and the associated noncommutativity structure.