Spacetime superalgebras with 64 or less number of real supercharges, containing the type IIB Poincaré superalgebra in (9, 1) dimensions and the N = 1 Poincaré 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.
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics