Noncommutative Supersymmetric Tubes

TL;DR

This paper explores supersymmetric tubular configurations in matrix theory, constructing BPS states that resemble noncommutative cylindrical D2 branes with angular momentum, and analyzing their dynamics as noncommutative gauge theories.

Contribution

It introduces new BPS configurations of supersymmetric tubes in matrix theory, including multiple parallel tubes and excitations, expanding understanding of noncommutative brane dynamics.

Findings

Constructed BPS supersymmetric tube solutions with eight supersymmetries.

Described world volume as a noncommutative gauge theory.

Identified configurations with multiple parallel tubes of varying sizes.

Abstract

We investigate supersymmetric tubular configurations in the matrix theory. We construct a host of BPS configurations of eight supersymmetries. They can be regarded as cylindrical D2 branes carrying nonvanishing angular momentum. For the simplest tube, the world volume can be described as noncommutative tube and the world volume dynamics can be identified as a noncommutative gauge theory. Among the BPS configurations, some describe excitations on the tube and others describe many parallel tubes of different size and center.