A Euclidean Lattice Construction of Supersymmetric Yang-Mills Theories

 with Sixteen Supercharges

Ünsal, Mithat; Kaplan, David B.

doi:10.1088/1126-6708/2005/09/042

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A Euclidean Lattice Construction of Supersymmetric Yang-Mills Theories with Sixteen Supercharges

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Author(s): Mithat Ünsal, David B. Kaplan

Publication date: 2005-03-30

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Abstract

We formulate supersymmetric Euclidean spacetime Ad* lattices whose classical continuum limits are U(N) supersymmetric Yang-Mills theories with sixteen supercharges in d=1,2,3 and 4 dimensions. This family includes the especially interesting N=4 supersymmetry in four dimensions, as well as a Euclidean path integral formulation of Matrix Theory on a one dimensional lattice.