Solitons on compact and noncompact spaces in large noncommutativity

TL;DR

This paper explores soliton solutions in large noncommutative spaces, linking them to D-brane bound states in string theory, and derives a mass spectrum formula for these configurations.

Contribution

It introduces a mass spectrum formula for D-brane bound states on quantum tori and proposes an effective potential shape for these quasi-stable states.

Findings

Derived a mass spectrum formula linking D-branes on quantum tori.

Identified gauge symmetries depending on quantum torus representations.

Proposed an effective potential for D-brane bound states.

Abstract

We study solutions at the minima of scalar field potentials for Moyal spaces and torii in the large non-commutativity and interprete these solitons in terms of non-BPS D-branes of string theory. We derive a mass spectrum formula linking different D-branes together on quantum torii and suggest that it describes general systems of D-brane bound states extending the D2-D0 one. Then we propose a shape for the effective potential approaching these quasi-stable bound states. We give the gauge symmetries of these systems of branes and show that they depend on the quantum torii representations.