English

Four-dimensional N=1 super Yang-Mills from matrix model

High Energy Physics - Theory 2013-05-29 v4 High Energy Physics - Lattice

Abstract

We consider a supersymmetric matrix quantum mechanics. This is obtained by adding Myers and mass terms to the dimensional reduction of 4d N=1 super Yang-Mills theory to one dimension. Using this model we construct 4d N=1 super Yang-Mills theory in the planar limit by using the Eguchi-Kawai equivalence. The same matrix quantum mechanics is also used to provide a nonperturbative formulation of 4d N=1 super Yang-Mills theory on noncommutative space.

Keywords

Cite

@article{arxiv.0905.2995,
  title  = {Four-dimensional N=1 super Yang-Mills from matrix model},
  author = {Masanori Hanada and Lorenzo Mannelli and Yoshinori Matsuo},
  journal= {arXiv preprint arXiv:0905.2995},
  year   = {2013}
}

Comments

21 pages, 2 figures. Ver.2 : references and comments added. Ver.3 : Some corrections. Main result does not change. Ver.4 : The version accepted by PRD. Section for the absence of the sign problem is added and review part is shortened

R2 v1 2026-06-21T13:03:36.199Z