The light spectrum near the Argyres-Douglas point

TL;DR

This paper investigates the spectrum of N=2 super Yang-Mills theory near a critical point where certain mutually non-local states become massless, using M-theory configurations to confirm their existence.

Contribution

It demonstrates the existence of massless mutually non-local states at a specific point in the moduli space using M-theory realization, providing insight into the spectrum near the Argyres-Douglas point.

Findings

Massless mutually non-local states exist near the critical point.

M-theory configuration confirms the spectrum predictions.

Critical point corresponds to vanishing central charges for certain charges.

Abstract

We consider N = 2 super Yang-Mills theory with SU(2) gauge group and a single quark hypermultiplet in the fundamental representation. For a specific value of the quark bare mass and at a certain point in the moduli space of vacua, the central charges corresponding to two mutually non-local electro-magnetic charges vanish simultaneously, indicating the possibility of massless such states in the spectrum. By realizing the theory as an M-theory configuration, we show that these states indeed exist in the spectrum near the critical point.