Two dimensional N ≤(2,2) super Yang-Mills theory on the lattice via dimensional reduction

Hiroshi Suzuki, Yusuke Taniguchi

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27 Citations (Scopus)

Abstract

The N ≤ (2,2) extended super Yang-Mills theory in 2 dimensions is formulated on the lattice as a dimensional reduction of a 4 dimensional lattice gauge theory. We use the plaquette action for a bosonic sector and the Wilson- or the overlap-Dirac operator for a fermion sector. The fermion determinant is real and, moreover, when the overlap-Dirac operator is used, semi-positive definite. The flat directions in the target theory become compact and present no subtlety for a numerical integration along these directions. Any exact supersymmetry does not exist in our lattice formulation; nevertheless we argue that one-loop calculable and finite mass counter terms ensure a supersymmetric continuum limit to all orders of perturbation theory.

Original languageEnglish
Pages (from-to)1987-2008
Number of pages22
JournalJournal of High Energy Physics
Issue number10
DOIs
Publication statusPublished - Oct 1 2005

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All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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