KacMoody Symmetries of Tendimensional Nonmaximal Supergravity Theories
Abstract
A description of the bosonic sector of tendimensional N = 1 supergravity as a nonlinear realisation is given. We show that if a suitable extension of this theory were invariant under a KacMoody algebra, then this algebra would have to contain a rank eleven KacMoody algebra, that can be identified to be a particular real form of veryextended D_{8}. We also describe the extension of N = 1 supergravity coupled to an abelian vector gauge field as a nonlinear realisation, and find the KacMoody algebra governing the symmetries of this theory to be veryextended B_{8}. Finally, we discuss the related points for the N = 1 supergravity coupled to an arbitrary number of abelian vector gauge fields.
 Publication:

Journal of High Energy Physics
 Pub Date:
 May 2004
 DOI:
 10.1088/11266708/2004/05/019
 arXiv:
 arXiv:hepth/0401196
 Bibcode:
 2004JHEP...05..019S
 Keywords:

 SpaceTime Symmetries Gauge Symmetry Global Symmetries Supergravity Models;
 High Energy Physics  Theory
 EPrint:
 JHEP0405:019,2004