T Duality in M(atrix) Theory and S Duality in Field Theory

Details T Duality in M(atrix) Theory and S Duality in Field Theory T Duality in M(atrix) Theory and S Duality in Field Theory

1996-11-21

arxiv.org/abs/hep-th/9611164v1

Physics

High Energy Physics

High Energy Physics - Theory

5 pages in Phyzxx

Scientific paper

The matrix model formulation of M theory can be generalized to compact transverse backgrounds such as tori. If the number of compact directions is K then the matrix model must be generalized to K+1 dimensional super Yang Mills theory on a compact space. If K is greater than or equal to 3, there are T dualities which which require highly nontrivial identifications between different SYM theories. In the simplest case we will see that the requirement reduces to the well known electric- magnetic duality of N=4 SYM theory in 3+1 dimensions.

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