Low-dimensional supersymmetric lattice models

DOI10.1016/j.aop.2007.06.010zbMath1134.81038arXiv0705.2212OpenAlexW2050193234WikidataQ126238235 ScholiaQ126238235MaRDI QIDQ2482048

Yanyan Li

Publication date: 16 April 2008

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.2212

zbMATH Keywords

lattice modelssupersymmetry

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Quantum field theory on lattices (81T25) Supersymmetry and quantum mechanics (81Q60)

Related Items (15)

Loop formulation of supersymmetric Yang-Mills quantum mechanics ⋮ Complex Langevin dynamics and supersymmetric quantum mechanics ⋮ Complete supersymmetry on the lattice and a no-go theorem ⋮ 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 ⋮ A method for measuring the Witten index using lattice simulation ⋮ Supersymmetric quantum mechanics on the lattice: II. Exact results ⋮ Numerical simulation of the \(N=(2,2)\) Landau-Ginzburg model ⋮ Tensor network formulation for two-dimensional lattice \( \mathcal{N}= 1\) Wess-Zumino model ⋮ \( \mathcal{N} = 1\) super-Yang-Mills theory on the lattice with twisted mass fermions ⋮ Direct computational approach to lattice supersymmetric quantum mechanics ⋮ Supersymmetric quantum mechanics on the lattice. III: Simulations and algorithms ⋮ Supersymmetric nonlinear \(\mathrm{O}(3)\) sigma model on the lattice ⋮ MATRIX FORMULATION OF SUPERSPACE ON 1D LATTICE WITH TWO SUPERCHARGES

Cites Work

• Dynamical breaking of supersymmetry
• R-symmetry in the \(Q\)-exact \((2,2)\) 2D lattice Wess-Zumino model
• Supersymmetry on the lattice and the Leibniz rule
• From the Dirac operator to Wess-Zumino models on spatial lattices
• Stochastic and parastochastic aspects of supersymmetric functional measures: A new non-perturbative approach to supersymmetry
• Continuous 'Translation' and Supersymmetry on the Lattice
• Fermions without Fermions: The Nicolai Map Revisited
• The Spontaneous Breakdown of Supersymmetry on the Finite Lattice
• Optimal filter and mollifier for piecewise smooth spectral data
• A lattice path integral for supersymmetric quantum mechanics
• Lattice chiral symmetry and the Wess-Zumino model
• Lattice chiral symmetry, Yukawa couplings and the Majorana condition

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