Phases of N=2 Necklace Quivers

TL;DR

This paper classifies the phases of N=2 elliptic models based on their global properties, demonstrating agreement between field theory and M-theory analyses, and exploring the action of S-duality on these phases.

Contribution

It provides a detailed classification of N=2 elliptic model phases using line operator spectra and links field theory results with M-theory insights.

Findings

Phases form orbits under S-duality group

Agreement between field theory and M-theory analysis

Classification based on spectrum of line operators

Abstract

We classify the phases of N=2 elliptic models in terms of their global properties i.e. the spectrum of line operators. We show the agreement between the field theory and the M-theory analysis and how the phases form orbits under the action of the S-duality group which corresponds to the mapping class group of the Riemann surface in M-theory.