Real forms of very extended Kac-Moody algebras and theories with eight supersymmetries

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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46 pages, 25 figures. Refs added, one appendix included, one figure added

Scientific paper

10.1088/1126-6708/2008/05/079

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.

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