Complete supersymmetry on the lattice and a no-go theorem

DOI10.1007/JHEP01(2010)024zbMath1269.81081arXiv0909.4791MaRDI QIDQ359158

Georg Bergner

Publication date: 9 August 2013

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4791

zbMATH Keywords

supersymmetry breakingsupersymmetric gauge theorysuperspaceslattice quantum Field theory

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on lattices (81T25) Symmetry breaking in quantum theory (81R40) Functional analysis on superspaces (supermanifolds) or graded spaces (46S60)

Related Items (13)

A criterion for lattice supersymmetry: cyclic Leibniz rule ⋮ The light bound states of supersymmetric \(\mathrm{SU}(2)\) Yang-Mills theory ⋮ Lattice study of supersymmetry breaking in \(\mathcal{N} = 2\) supersymmetric quantum mechanics ⋮ Supersymmetry breaking in low dimensional models ⋮ Supersymmetric quantum mechanics on the lattice. I: Loop formulation ⋮ An alternative lattice field theory formulation inspired by lattice supersymmetry ⋮ Numerical study of the \( \mathcal{N}=2 \) Landau-Ginzburg model with two superfields ⋮ Species doublers as super multiplets in lattice supersymmetry: exact supersymmetry with interactions for \(D = 1\) \(N = 2\) ⋮ Direct computational approach to lattice supersymmetric quantum mechanics ⋮ Lattice formulation of two-dimensional \(\mathcal{N} =(2,2)\) super Yang-Mills with \(\mathrm{SU}(N)\) gauge group ⋮ Supersymmetric nonlinear \(\mathrm{O}(3)\) sigma model on the lattice ⋮ Towards the spectrum of low-lying particles in supersymmetric Yang-Mills theory ⋮ Species doublers as super multiplets in lattice supersymmetry: chiral conditions of Wess-Zumino model for \(D = N = 2\)

Cites Work

• Supersymmetry on the lattice and the Leibniz rule
• From the Dirac operator to Wess-Zumino models on spatial lattices
• Low-dimensional supersymmetric lattice models
• Continuous 'Translation' and Supersymmetry on the Lattice
• The Spontaneous Breakdown of Supersymmetry on the Finite Lattice
• DECONSTRUCTION AND OTHER APPROACHES TO SUPERSYMMETRIC LATTICE FIELD THEORIES
• Supersymmetry on the lattice
• A lattice path integral for supersymmetric quantum mechanics

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