On Phases of Generic Toric Singularities

TL;DR

This paper systematically analyzes the phases of generic toric singularities using Gauged Linear Sigma Models, providing a comprehensive method to understand their structure and phase transitions, including non-supersymmetric cases.

Contribution

It introduces a method to extract complete phase information of generic $U(1)^r$ GLSMs from the Lagrangian, extending to non-supersymmetric spaces.

Findings

Complete phase characterization of generic toric singularities

Application to $L^{a,b,c}$ spaces and their non-supersymmetric counterparts

Method for analyzing GLSM phases via Lagrangian modifications

Abstract

We systematically study the phases of generic toric singularities, using methods initiated in hep-th/0612046. These correspond to Gauged Linear Sigma Models with arbitrary charges. We show that complete information about generic $U(1)^r$ GLSMs can be obtained by studying the GLSM Lagrangian, appropriately modified in the different phases of the theory. This can be used to study the different phases of $L^{a,b,c}$ spaces and their non-supersymmetric counterparts.