Supersymmetric Sigma Models on Toric Varieties: A Test Case

TL;DR

This paper investigates supersymmetric sigma models on toric varieties, focusing on the blow-up of P^2_(2,1,1), revealing solitons that become massless at singular points, thus testing theoretical properties of these models.

Contribution

It provides a detailed analysis of supersymmetric sigma models on a specific toric variety using topological-antitopological fusion techniques, highlighting novel soliton behavior.

Findings

Identification of massless solitons at singular points

Analysis of gauge symmetry breaking in the models

Application of topological-antitopological fusion methods

Abstract

In this letter we study supersymmetric sigma models on toric varieties. These manifolds are generalizations of CP^n manifolds. We examine here sigma models, viewed as gauged linear sigma models, on one of the simplest such manifold, the blow-up of P^2_(2,1,1), and determine their properties using the techniques of topological- antitopological fusion. We find that the model contains solitons which become massless at the singular point of the theory where a gauge symmetry remains unbroken.