Solitons in supersymmetric sigma-models with torsion

TL;DR

This paper derives energy bounds and constructs soliton solutions in supersymmetric two-dimensional sigma models with torsion, extending previous results and providing explicit examples with group manifolds and multiple vacua.

Contribution

It generalizes energy bounds and soliton solutions to supersymmetric sigma models with torsion, including new models with multiple vacua and explicit solutions.

Findings

Derived energy bounds for (p,q)-supersymmetric models with torsion

Constructed explicit soliton solutions in SU(2) and (4,4) models

Computed metrics on one-soliton moduli spaces

Abstract

We derive a bound on the energy of the general (p,q)-supersymmetric two-dimensional massive sigma model with torsion, in terms of the topological and Noether charges that appear as central charges in its supersymmetry algebra.The bound is saturated by soliton solutions of first-order Bogomol'nyi-type equations. This generalizes results obtained previously for p=q models without torsion. We give examples of massive (1,1) models with torsion that have a group manifold as a target space. We show that they generically have multiple vacua and find an explicit soliton solution of an SU(2) model. We also construct a new class of zero torsion massive (4,4) models with multiple vacua and soliton solutions. In addition, we compute the metrics on the one-soliton moduli spaces for those cases for which soliton solutions are known explicitly, and discuss their interpretation.