Junctions of Supersymmetric Tubes

TL;DR

This paper reviews supersymmetric noncommutative tubes in matrix theory, explores their fluctuations, and constructs complex configurations like junctions and variable noncommutativity, enabling modeling of arbitrary Riemann surface topologies.

Contribution

It introduces new supersymmetric tube configurations with junctions and variable noncommutativity, extending the understanding of noncommutative geometries in matrix theory.

Findings

Constructed supersymmetric tube junctions and bends.

Analyzed fluctuations around multi-tube systems.

Demonstrated the ability to model arbitrary Riemann surfaces.

Abstract

We begin by reviewing the noncommutative supersymmetric tubular configurations in the matrix theory. We identify the worldvolume gauge fields, the charges and the moment of R-R charges carried by the tube. We also study the fluctuations around many tubes and tube-D0 systems. Based on the supersymmetric tubes, we have constructed more general configurations that approach supersymmetric tubes asymptotically. These include a bend with angle and a junction that connects two tubes to one. The junction may be interpreted as a finite-energy domain wall that interpolates U(1) and U(2) worldvolume gauge theories. We also construct a tube along which the noncommutativity scale changes. Relying upon these basic units of operations, one may build physical configurations corresponding to any shape of Riemann surfaces of arbitrary topology. Variations of the noncommutativity scale are allowed over the Riemann surfaces. Particularly simple such configurations are Y-shaped junctions.