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arXiv · 0706.3659

Duality Symmetries and G^{+++} Theories

Fabio Riccioni·Duncan Steele·Peter West
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Abstract

We show that the non-linear realisations of all the very extended algebras G^{+++}, except the B and C series which we do not consider, contain fields corresponding to all possible duality symmetries of the on-shell degrees of freedom of these theories. This result also holds for G_2^{+++} and we argue that the non-linear realisation of this algebra accounts precisely for the form fields present in the corresponding supersymmetric theory. We also find a simple necessary condition for the roots to belong to a G^{+++} algebra.

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Fabio Riccioni, Duncan Steele, Peter West. 2008-02-26. Duality Symmetries and G^{+++} Theories. https://doi.org/10.1088/0264-9381%2F25%2F4%2F045012

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