Two-dimensional compact \(\mathcal N=(2,2)\) lattice super-Yang-Mills theory with exact supersymmetry

DOI10.1016/j.physletb.2006.02.064zbMath1247.81500arXivhep-lat/0401017OpenAlexW2009651079MaRDI QIDQ454063

Fumihiko Sugino

Publication date: 30 September 2012

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-lat/0401017

zbMATH Keywords

\(\mathcal N=(2,2)\) lattice super-Yang-Mills theoryexact supersymmetry

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Quantum field theory on lattices (81T25)

Related Items (15)

Restoration of supersymmetry in two-dimensional SYM with sixteen supercharges on the lattice ⋮ Relations among supersymmetric lattice gauge theories via orbifolding ⋮ Spontaneous supersymmetry breaking in matrix models from the viewpoints of localization and Nicolai mapping ⋮ \(\mathcal{O}(a)\) improvement of 2D \(\mathcal{N} = (2, 2)\) lattice SYM theory ⋮ Geometry of orbifolded supersymmetric lattice gauge theories ⋮ Exact vacuum energy of orbifold lattice theories ⋮ Non-perturbative construction of 2D and 4D supersymmetric Yang-Mills theories with 8 supercharges ⋮ Lattice formulation of two-dimensional \({\mathcal N}=(2,2)\) SQCD with exact supersymmetry ⋮ Ginsparg-Wilson formulation of 2D \({\mathcal N}=(2,2)\) SQCD with exact lattice supersymmetry ⋮ Restoration of supersymmetry on the lattice: two-dimensional \({\mathcal N}=(2,2)\) supersymmetric Yang-Mills theory ⋮ Lattice formulation of 2D \({\mathcal N}=(2,2)\) SQCD based on the B model twist ⋮ Lattice formulation of two-dimensional \(\mathcal{N} =(2,2)\) super Yang-Mills with \(\mathrm{SU}(N)\) gauge group ⋮ An anisotropic hybrid non-perturbative formulation for 4D \( \mathcal{N} = {2} \) supersymmetric Yang-Mills theories ⋮ MATRIX FORMULATION OF SUPERSPACE ON 1D LATTICE WITH TWO SUPERCHARGES ⋮ A deconstruction lattice description of the D1/D5 brane world-volume gauge theory

Cites Work

• Abelian chiral gauge theories on the lattice with exact gauge invariance
• Supersymmetry on the lattice and the Leibniz rule
• There are no Goldstone bosons in two dimensions
• PREDICTIONS AND RECENT RESULTS IN SUSY ON THE LATTICE
• INTRODUCTION TO COHOMOLOGICAL FIELD THEORIES

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