Towards SO(2,10)-Invariant M-Theory: Multilagrangian Fields

Details Towards SO(2,10)-Invariant M-Theory: Multilagrangian Fields Towards SO(2,10)-Invariant M-Theory: Multilagrangian Fields

1999-07-02

arxiv.org/abs/hep-th/9907011v3

Mod.Phys.Lett. A15 (2000) 747-760

Physics

High Energy Physics

High Energy Physics - Theory

Latex 16 pages, minor correction, To appear in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732300000736

The SO(2,10) covariant extension of M-theory superalgebra is considered, with the aim to construct a correspondingly generalized M-theory, or 11d supergravity. For the orbit, corresponding to the $11d$ supergravity multiplet, the simplest unitary representations of the bosonic part of this algebra, with sixth-rank tensor excluded, are constructed on a language of field theory in 66d space-time. The main peculiarities are the presence of more than one equation of motion and corresponding Lagrangians for a given field and that the gauge and SUSY invariances of the theory mean that the sum of variations of these Lagrangians (with different variations of the same field) is equal to zero.

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