Supersymmetry in Dimensions Beyond Eleven
I. Rudychev, E. Sezgin, P. Sundell
Abstract
Spacetime superalgebras with 64 or less number of real supercharges, containing the type IIB Poincare superalgebra in (9,1) dimensions and the N=1 Poincare superalgebra in (10,1) are considered. The restriction D<14, and two distinct possibilities arise: The N=(1,0) superalgebra in (11,3) dimensions, and the N=(2,0) superalgebra in (10,2) dimensions. Emphasizing the former, we describe superparticle and super Yang-Mills systems in (11,3) dimensions. We also propose an N=(2,1) superstring theory in (n,n) dimensions as a possible origin of super Yang-Mills in (8+n,n) dimensions.
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