TOWARDS SO(2, 10)-INVARIANT M-THEORY: MULTI-LAGRANGIAN FIELDS

Abstract

The SO (2, 10) covariant extension of M-theory superalgebra is considered, with the aim to construct a correspondingly generalized M-theory, or 11-D supergravity. For the orbit corresponding to the 11-D 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 66-D space–time. The main peculiarities are the presence of more than one equation of motion and the 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.