Matrix Description of Intersecting M5 Branes

TL;DR

This paper derives a DLCQ framework for 3+1D N=2 superconformal theories from intersecting M5 branes, enabling the calculation of operator scaling dimensions and exploring criteria for supersymmetric quantum mechanical descriptions.

Contribution

It introduces a novel DLCQ approach to analyze intersecting M5 brane theories, providing new insights into their operator dimensions and quantum mechanical descriptions.

Findings

DLCQ description as supersymmetric quantum mechanics on the Higgs branch

Determination of scaling dimensions of chiral primary operators

Criteria for quantum mechanical DLCQ descriptions of supersymmetric theories

Abstract

Novel 3+1 dimensional N=2 superconformal field theories (with tensionless BPS string solitons) are believed to arise when two sets of M5 branes intersect over a 3+1 dimensional hyperplane. We derive a DLCQ description of these theories as supersymmetric quantum mechanics on the Higgs branch of suitable 4d N=1 supersymmetric gauge theories. Our formulation allows us to determine the scaling dimensions of certain chiral primary operators in the conformal field theories. We also discuss general criteria for quantum mechanical DLCQ descriptions of supersymmetric field theories (and the resulting multiplicities and scaling dimensions of chiral primary operators).