Supermatrix models for M-theory based on osp(1|32,R)
Abstract
Taking seriously the hypothesis that the full symmetry algebra of M-theory is osp(1|32,R), we derive the supersymmetry transformations for all fields that appear in 11- and 12-dimensional realizations and give the associated SUSY algebras. We study the background-independent osp(1|32,R) cubic matrix model action expressed in terms of representations of the Lorentz groups SO(10,2) and SO(10,1). We explore further the 11-dimensional case and compute an effective action for the BFSS-like degrees of freedom. We find the usual BFSS action with additional terms incorporating couplings to transverse 5-branes, as well as a mass-term and an infinite tower of higher-order interactions.
Cite
@article{arxiv.hep-th/0201183,
title = {Supermatrix models for M-theory based on osp(1|32,R)},
author = {Maxime Bagnoud and Luca Carlevaro and Adel Bilal},
journal= {arXiv preprint arXiv:hep-th/0201183},
year = {2010}
}
Comments
31 pages, no figures, LaTeX format, revised sec. 5.1 and 5.2, minor modifications and references added