Duality Symmetries and G^{+++} Theories

Details Duality Symmetries and G^{+++} Theories Duality Symmetries and G^{+++} Theories

2007-06-25

arxiv.org/abs/0706.3659v3

Class.Quant.Grav.25:045012,2008

Physics

High Energy Physics

High Energy Physics - Theory

35 pages. v2: 2 appendices added, other minor corrections. v3: tables corrected, other minor changes, one appendix added, refs

Scientific paper

10.1088/0264-9381/25/4/045012

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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