Four-dimensional N=1 super Yang-Mills from matrix model

Abstract

We consider a supersymmetric matrix quantum mechanics. This is obtained by adding Myers and mass terms to the dimensional reduction of 4d N=1 super Yang-Mills theory to one dimension. Using this model we construct 4d N=1 super Yang-Mills theory in the planar limit by using the Eguchi-Kawai equivalence. The same matrix quantum mechanics is also used to provide a nonperturbative formulation of 4d N=1 super Yang-Mills theory on noncommutative space.

21 pages, 2 figures. Ver.2 : references and comments added. Ver.3 : Some corrections. Main result does not change. Ver.4 : The version accepted by PRD. Section for the absence of the sign problem is added and review part is shortened

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Cited by in corpus (14)

• Lattice study of two-dimensional N=(2,2) super Yang-Mills at large-N
• Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
• Absence of sign problem in two-dimensional N=(2,2) super Yang-Mills on lattice
• A proposal of a fine tuning free formulation of 4d N=4 super Yang-Mills
• Finite Volume Phases of Large N Gauge Theories with Massive Adjoint Fermions
• Large N reduction on group manifolds
• Large-N reduced models of supersymmetric quiver, Chern-Simons gauge theories and ABJM
• Phases of Gauge Theories
• An object oriented code for simulating supersymmetric Yang--Mills theories
• Large N reduction on coset spaces
• Large-N reduction for N=2 quiver Chern-Simons theories on S^3 and localization in matrix models
• AdS/CFT and large-N volume independence
• Localization and Large N reduction on S^3 for the Planar and M-theory limit
• A non-perturbative formulation of N=4 super Yang-Mills theory based on the large-N reduction