English

Simulations of ${\cal N}=2$ super Yang-Mills theory in two dimensions

High Energy Physics - Lattice 2009-11-11 v3 High Energy Physics - Theory

Abstract

We present results from lattice simulations of N=2{\cal N}=2 super Yang-Mills theory in two dimensions. The lattice formulation we use was developed in \cite{2dpaper} and retains both gauge invariance and an exact (twisted) supersymmetry for any lattice spacing. Results for both U(2) and SU(2) gauge groups are given. We focus on supersymmetric Ward identities, the phase of the Pfaffian resulting from integration over the Grassmann fields and the nature of the quantum moduli space.

Keywords

Cite

@article{arxiv.hep-lat/0602004,
  title  = {Simulations of ${\cal N}=2$ super Yang-Mills theory in two dimensions},
  author = {Simon Catterall},
  journal= {arXiv preprint arXiv:hep-lat/0602004},
  year   = {2009}
}

Comments

34 pages, 12 figures, 7 tables. Eqn. 6.1 corrected. Version to be published in JHEP