Noncommutative Open String Theories and Their Dualities

TL;DR

This paper reviews noncommutative open string theories (NCOS) arising from D-branes in electric B-fields, explores their dualities, and constructs the most general (3+1) NCOS with four parameters.

Contribution

It introduces the most general (3+1) NCOS theory with four parameters and analyzes its S, T, and U dualities, extending understanding of noncommutative string theories.

Findings

Constructed the most general (3+1) NCOS with four parameters.

Analyzed S and T dualities of NCOS theories.

Argued for the existence of a U-duality group.

Abstract

The recently found non-critical open string theories is reviewed. These open strings, noncommutative open string theories (NCOS), arise as consistent quantum theories describing the low energy theory of D-branes in a background electric B-field in the critical limit. Focusing on the D3-brane case, we construct the most general (3+1) NCOS, which is described by four parameters. We study S and T -dualities of these theories and argue the existence of a U-duality group.