Real forms of very extended Kac-Moody algebras and theories with eight supersymmetries
arXiv:0801.2763 · doi:10.1088/1126-6708/2008/05/079
Abstract
We consider all theories with eight supersymmetries whose reduction to three dimensions gives rise to scalars that parametrise symmetric manifolds. We conjecture that these theories are non-linear realisations of very-extended Kac-Moody algebras for suitable choices of real forms. We show for the most interesting cases that the bosonic sector of the supersymmetric theory is precisely reproduced by the corresponding non-linear realisation.
46 pages, 25 figures. Refs added, one appendix included, one figure added
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