Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2010-09-05
JHEP 1011:112,2010
Physics
High Energy Physics
High Energy Physics - Lattice
v1: 16 pages, no figure. v2: 18 pages, no figure. Comments and references added. Title changed slightly following the referee'
Scientific paper
10.1007/JHEP11(2010)112
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.
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