Two-dimensional = (2, 2) supersymmetric lattice gauge theory with matter fields in the fundamental representation

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16 Citations (Scopus)

Abstract

In this paper, we construct a lattice formulation for two-dimensional = (2,2) supersymmetric gauge theory with matter fields in the fundamental representation. We first construct it by the orbifolding procedure from Yang-Mills matrix theory with eight supercharges. We show that we can obtain the same lattice formulation by extending the geometrical discretization scheme. This suggests that the equivalence between the two schemes holds even for theories with matter fields.

Original languageEnglish
Article number127
JournalJournal of High Energy Physics
Volume2008
Issue number7
DOIs
Publication statusPublished - 2008 Jul 1
Externally publishedYes

Fingerprint

gauge theory
formulations
matrix theory
equivalence

Keywords

  • Extended supersymmetry
  • Lattice gauge field theories
  • Lattice quantum field theory
  • M(atrix) theories

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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abstract = "In this paper, we construct a lattice formulation for two-dimensional = (2,2) supersymmetric gauge theory with matter fields in the fundamental representation. We first construct it by the orbifolding procedure from Yang-Mills matrix theory with eight supercharges. We show that we can obtain the same lattice formulation by extending the geometrical discretization scheme. This suggests that the equivalence between the two schemes holds even for theories with matter fields.",
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AB - In this paper, we construct a lattice formulation for two-dimensional = (2,2) supersymmetric gauge theory with matter fields in the fundamental representation. We first construct it by the orbifolding procedure from Yang-Mills matrix theory with eight supercharges. We show that we can obtain the same lattice formulation by extending the geometrical discretization scheme. This suggests that the equivalence between the two schemes holds even for theories with matter fields.

KW - Extended supersymmetry

KW - Lattice gauge field theories

KW - Lattice quantum field theory

KW - M(atrix) theories

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