Duality Symmetries and G^{+++} Theories
High Energy Physics - Theory
2008-11-26 v3
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.
Keywords
Cite
@article{arxiv.0706.3659,
title = {Duality Symmetries and G^{+++} Theories},
author = {Fabio Riccioni and Duncan Steele and Peter West},
journal= {arXiv preprint arXiv:0706.3659},
year = {2008}
}
Comments
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