Seiberg-Witten Description of the Deconstructed 6D (0,2) Theory

TL;DR

This paper provides evidence that a four-dimensional gauge theory in a large N limit accurately describes the six-dimensional (0,2) superconformal field theory compactified on a torus, using Seiberg-Witten curves and M-theory insights.

Contribution

It demonstrates how the deconstructed 4D theory captures the low energy physics of M5-branes on a torus, clarifying supersymmetry enhancement and the role of theta parameters.

Findings

Seiberg-Witten curve describes the low energy physics on M5-branes.

Supersymmetry is enhanced at low energies and remains stable against corrections.

The complex structure of the torus can be arbitrarily chosen via theta parameters.

Abstract

It has recently been suggested that, in a large N limit, a particular four dimensional gauge theory is indistinguishable from the six dimensional CFT with (0,2) supersymmetry compactified on a torus. We give further evidence for this correspondence by studying the Seiberg-Witten curve for the "deconstructed" theory and demonstrating that along the reduced Coulomb branch of moduli space (on the intersection of the Higgs and Coulomb branches) it describes the low energy physics on a stack of M5-branes on a torus, which is the (0,2) theory on a torus as claimed. The M-theory construction helps to clarify the enhancement of supersymmetry in the deconstructed theory at low energies, and demonstrates its stability to radiative and instanton corrections. We demonstrate the role of the theta vacuum in the deconstructed theory. We point out that by varying the theta parameters and gauge couplings in the deconstructed theory, the complex structure of the torus can be chosen arbitrarily, and the torus is not metrically S^1 x S^1 in general.