Higherdimensional Origin of D=3 Coset Symmetries
Abstract
It is well known that the toroidal dimensional reduction of supergravities gives rise in three dimensions to theories whose bosonic sectors are described purely in terms of scalar degrees of freedom, which parameterise sigmamodel coset spaces. For example, the reduction of elevendimensional supergravity gives rise to an E_8/SO(16) coset Lagrangian. In this paper, we dispense with the restrictions of supersymmetry, and study all the threedimensional scalar sigma models G/H where G is a maximallynoncompact simple group, with H its maximal compact subgroup, and find the highest dimensions from which they can be obtained by KaluzaKlein reduction. A magic triangle emerges with a duality between rank and dimension. Interesting also are the cases of Hermitean symmetric spaces and quaternionic spaces.
 Publication:

arXiv eprints
 Pub Date:
 September 1999
 arXiv:
 arXiv:hepth/9909099
 Bibcode:
 1999hep.th....9099C
 Keywords:

 High Energy Physics  Theory
 EPrint:
 Latex, 30 pages