Duality Symmetries and G^{+++} Theories

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.

35 pages. v2: 2 appendices added, other minor corrections. v3: tables corrected, other minor changes, one appendix added, refs. added. Version published in Class. Quant. Grav

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Cited by in corpus (11)

• Kac-Moody Spectrum of (Half-)Maximal Supergravities
• Beyond E11
• Twin Supergravities
• A brief review of E theory
• Real forms of very extended Kac-Moody algebras and theories with eight supersymmetries
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• Gravity, Dual Gravity and A1+++
• Gauge fields and infinite chains of dualities
• Kac-Moody and Borcherds Symmetries of Six-Dimensional Chiral Supergravity