A proposal of a fine tuning free formulation of 4d N=4 super Yang-Mills

Abstract

Recently, a nonperturbative formulation of 4d N=4 super Yang-Mills theory which does not require fine tuning at least to all order in perturbation theory has been proposed by combining two-dimensional lattice and matrix model techniques. In this paper we provide an analogous model by utilizing deconstruction approach of Kaplan et al. Two-dimensional lattice with a plane wave deformation is deconstructed from a matrix model and two additional dimensions emerge through the Myers effect. In other words we construct a D1-brane theory from which a D3-brane theory comes out. The action is much simpler than the previous formulation and hence numerical study, which enables us to test the AdS/CFT duality at fully nonperturbative level, becomes much easier.

v1: 16 pages, no figure. v2: 18 pages, no figure. Comments and references added. Title changed slightly following the referee's suggestion. The version accepted by JHEP. v3: a few sign errors in equations corrected

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Cited by in corpus (35)

• Holographic Thermalization
• Thermal phases of D1-branes on a circle from lattice super Yang-Mills
• Direct test of the gauge-gravity correspondence for Matrix theory correlation functions
• Perturbative renormalization of lattice N=4 super Yang-Mills theory
• Quantum simulation of gauge theory via orbifold lattice
• Absence of sign problem in two-dimensional N=(2,2) super Yang-Mills on lattice
• Phase Structure of Lattice N=4 Super Yang-Mills
• Localised and nonuniform thermal states of super-Yang-Mills on a circle
• Twisted supersymmetries in lattice $\mathcal{N}=4$ super Yang-Mills theory
• On the sign problem in 2D lattice super Yang--Mills
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• Toward simulating Superstring/M-theory on a quantum computer
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• Spontaneous supersymmetry breaking in matrix models from the viewpoints of localization and Nicolai mapping
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• What lattice theorists can do for superstring/M-theory
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• Markov Chain Monte Carlo for Dummies
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• Mass deformation of twisted super Yang-Mills theory with fuzzy sphere solution
• Twisted lattice supersymmetry and applications to AdS/CFT
• A new large-N limit and the planar equivalence outside the planar limit
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