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arXiv · 0801.2763

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

Fabio Riccioni·Antoine Van Proeyen·Peter West
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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.

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Fabio Riccioni, Antoine Van Proeyen, Peter West. 2008-02-19. Real forms of very extended Kac-Moody algebras and theories with eight supersymmetries. https://doi.org/10.1088/1126-6708%2F2008%2F05%2F079

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