Supersymmetric Yang-Mills Theories in $D\ge 12$

Details Supersymmetric Yang-Mills Theories in $D\ge 12$ Supersymmetric Yang-Mills Theories in $D\ge 12$

1997-08-11

arxiv.org/abs/hep-th/9708064v1

Nucl.Phys. B523 (1998) 450-464

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, latex (with macros)

Scientific paper

10.1016/S0550-3213(98)00113-8

We present supersymmetric Yang-Mills theories in arbitrary even dimensions with the signature (9+m,1+m) where $m=0,1,2,...$ beyond ten-dimensions up to infinity. This formulation utilizes null-vectors and is a generalization of our previous work in 10+2 dimensions to arbitrary even dimensions with the above signature. We have overcome the previously-observed obstruction beyond 11+3 dimensions, by the aid of projection operators. Both component and superspace formulations are presented. This also suggests the possibility of consistent supergravity theories in any even dimensions beyond 10+1 dimensions.

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