Little Groups of Preon Branes

Details Little Groups of Preon Branes Little Groups of Preon Branes

2003-08-08

arxiv.org/abs/hep-th/0308065v1

Mod.Phys.Lett. A18 (2003) 2665-2672

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 11 pages

Scientific paper

10.1142/S0217732303012167

Little groups for preon branes (i.e. configurations of branes with maximal (n-1)/n fraction of survived supersymmetry) for dimensions d=2,3,...,11 are calculated for all massless, and partially for massive orbits. For massless orbits little groups are semidirect product of d-2 translational group $T_{d-2}$ on a subgroup of (SO(d-2) $\times$ R-invariance) group. E.g. at d=9 the subgroup is exceptional $G_2$ group. It is also argued, that 11d Majorana spinor invariants, which distinguish orbits, are actually invariant under d=2+10 Lorentz group. Possible applications of these results include construction of field theories in generalized space-times with brane charges coordinates, different problems of group's representations decompositions, spin-statistics issues.

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