New Perspectives on Yang-Mills Theories With Sixteen Supersymmetries

Details New Perspectives on Yang-Mills Theories With Sixteen Supersymmetries New Perspectives on Yang-Mills Theories With Sixteen Supersymmetries

1997-12-08

arxiv.org/abs/hep-th/9712071v2

JHEP 9801:007,1998

Physics

High Energy Physics

High Energy Physics - Theory

44 pages, harvmac; references added

Scientific paper

10.1088/1126-6708/1998/01/007

We describe various approaches that give matrix descriptions of compactified NS five-branes. As a result, we obtain matrix models for Yang-Mills theories with sixteen supersymmetries in dimensions $2,3,4$ and 5. The equivalence of the various approaches relates the Coulomb branch of certain gauge theories to the moduli space of instantons on $T^4$. We also obtain an equivalence between certain six-dimensional string theories. Further, we discuss how various perturbative and non-perturbative features of these Yang-Mills theories appear in their matrix formulations. The matrix model for four-dimensional Yang-Mills is manifestly S-dual. In this case, we describe how electric fluxes, magnetic fluxes and the interaction between vector particles are realized in the matrix model.

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