Duality and Light Cone Symmetries of the Equations of Motion

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages, uses harvmac. An expanded and clarified version

Scientific paper

10.1016/S0370-2693(98)00591-7

The matrix theory description of the discrete light cone quantization of $M$ theory on a $T^{2}$ is studied. In terms of its super Yang- Mills description, we identify symmetries of the equations of motion corresponding to independent rescalings of one of the world sheet light cone coordinates, which show how the $S$ duality of Type IIB string theory is realized as a Nahm-type transformation. In the $M$ theory description this corresponds to a simple $9-11$ flip.

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