Progress in four-dimensional lattice supersymmetry

Abstract

We are entering an era where a number of large-scale lattice simulations of four-dimensional supersymmetric theories are under way. Moreover, proposals for how to approach such studies continue to progress. One particular line of research in this direction is described here. General actions for super-QCD, including counterterms required on the lattice, are given. We obtain the number of fine-tunings that is required, once gauge and flavor symmetries are accounted for, provided Ginsparg-Wilson fermions are used for the gauginos. We also review and extend our recent work on lattice formulations of N=4 super-Yang-Mills and N=1 super-Yang-Mills that exploit Ginsparg-Wilson fermions.

64 pages

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• Chiral Lattice Gauge Theories Via Mirror-Fermion Decoupling: A Mission (im)Possible?
• Supersymmetry Breaking in Low Dimensional Models
• Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
• Non-perturbative construction of 2D and 4D supersymmetric Yang-Mills theories with 8 supercharges
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• Supersymmetric QCD on the Lattice: An Exploratory Study
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• Supersymmetric QCD: Renormalization and Mixing of Composite Operators
• Gauge-invariant Renormalization of the Gluino-Glue operator
• A non-perturbative formulation of N=4 super Yang-Mills theory based on the large-N reduction
• Exploring gauge theories with adjoint matter on the lattice
• Lattice Wess-Zumino model with Ginsparg-Wilson fermions: One-loop results and GPU benchmarks
• Renormalization and Mixing of the Gluino-Glue Operator on the Lattice
• Two-loop Wess-Zumino model with exact supersymmetry on the lattice
• Twisted lattice supersymmetry and applications to AdS/CFT
• Supersymmetric and conformal theories on the lattice: from super Yang-Mills towards super QCD
• An anisotropic hybrid non-perturbative formulation for 4D N = 2 supersymmetric Yang-Mills theories
• A one-loop test for construction of 4D N=4 SYM from 2D SYM via fuzzy sphere geometry
• Supercurrent conservation in the lattice Wess-Zumino model with Ginsparg-Wilson fermions
• The CKM Matrix from Lattice QCD
• Renormalization of Supersymmetric QCD on the Lattice