Restoration of supersymmetry on the lattice: two-dimensional \({\mathcal N}=(2,2)\) supersymmetric Yang-Mills theory

DOI10.1016/j.nuclphysb.2008.11.021zbMath1194.81233arXiv0809.2856OpenAlexW1598087324MaRDI QIDQ993104

J. Martínez

Publication date: 10 September 2010

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

Full work available at URL: https://arxiv.org/abs/0809.2856

zbMATH Keywords

continuum limitlattice gauge theorysupersymmetry

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on lattices (81T25) Continuum limits in quantum field theory (81T27)

Related Items

Restoration of supersymmetry in two-dimensional SYM with sixteen supercharges on the lattice ⋮ Extracting black hole physics from the lattice ⋮ \(\mathcal{O}(a)\) improvement of 2D \(\mathcal{N} = (2, 2)\) lattice SYM theory ⋮ Non-perturbative construction of 2D and 4D supersymmetric Yang-Mills theories with 8 supercharges ⋮ Mass deformation of twisted super Yang-Mills theory with fuzzy sphere solution ⋮ Mass spectrum of 2-dimensional \( \mathcal{N}=\left(2,2\right) \) super Yang-Mills theory on the lattice ⋮ SUPERSYMMETRIC YANG–MILLS THEORIES WITH EXACT SUPERSYMMETRY ON THE LATTICE ⋮ Absence of sign problem in two-dimensional \({\mathcal N} = ( 2,2 )\) super Yang-Mills on lattice ⋮ Direct test of the gauge-gravity correspondence for Matrix theory correlation functions ⋮ On the sign problem in 2D lattice super Yang-Mills ⋮ 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 ⋮ Phase structure of lattice \(\mathcal{N}=4\) super Yang-Mills ⋮ Twisted supersymmetries in lattice \( \mathcal{N} \) = 4 super Yang-Mills theory

Cites Work

• Geometry of orbifolded supersymmetric lattice gauge theories
• Exact extended supersymmetry on a lattice: twisted \(N=2\) super-Yang-Mills in two dimensions
• Two-dimensional compact \(\mathcal N=(2,2)\) lattice super-Yang-Mills theory with exact supersymmetry
• Exact extended supersymmetry on a lattice: twisted \(N=4\) super-Yang-Mills in three dimensions
• Lattice formulation of two-dimensional \({\mathcal N}=(2,2)\) SQCD with exact supersymmetry
• Topological quantum field theory
• TWISTED SUPERSPACE FOR N=D=2 SUPER BF AND YANG–MILLS WITH DIRAC–KÄHLER FERMION MECHANISM
• Observing Dynamical Supersymmetry Breaking with Euclidean Lattice Simulations
• INTRODUCTION TO COHOMOLOGICAL FIELD THEORIES
• SUPERSYMMETRIC YANG–MILLS THEORY ON THE LATTICE
• Matrix distributed processing: A set of \(C++\) tools for implementing generic lattice computations on parallel systems

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