Super Yang-Mills in (11,3) Dimensions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages, latex

Scientific paper

10.1016/S0370-2693(97)00516-9

A supersymmetric Yang-Mills system in (11,3) dimensions is constructed with the aid of two mutually orthogonal null vectors which naturally arise in a generalized spacetime superalgebra. An obstacle encountered in an attempt to extend this result to beyond 14 dimensions is described. A null reduction of the (11,3) model is shown to yield the known super Yang-Mills model in (10,2) dimensions. An (8,8) supersymmetric super Yang-Mills system in (3,3) dimensions is obtained by an ordinary dimensional reduction of the (11,3) model, and it is suggested there may exist a superbrane with (3,3) dimensional worldvolume propagating in (11,3) dimensions.

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