T Duality in M(atrix) Theory and S Duality in Field Theory
High Energy Physics - Theory
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.hep-th/9611164,
title = {T Duality in M(atrix) Theory and S Duality in Field Theory},
author = {Leonard Susskind},
journal= {arXiv preprint arXiv:hep-th/9611164},
year = {2007}
}
Comments
5 pages in Phyzxx