On K(E_9)
| dc.creator | Nicolai, H. | |
| dc.creator | Samtleben, H. | |
| dc.date | 2004-07-08 | |
| dc.date.accessioned | 2026-07-07T04:17:09Z | |
| dc.date.available | 2026-07-07T04:17:09Z | |
| dc.description | We study the maximal compact subgroup K(E_9) of the affine Lie group E_9(9) and its on-shell realization as an R symmetry of maximal N=16 supergravity in two dimensions. We first give a rigorous definition of the group K(E_9), which lives on the double cover of the spectral parameter plane, and show that the infinitesimal action of K(E_9) on the chiral components of the bosons and the fermions is determined in terms of an expansion of the Lie algebra of K(E_9) about the two branch points of this cover; this implies in particular that the fermions of N=16 supergravity transform in a spinor representation of K(E_9). The fermionic equations of motion can be fitted into the lowest components of a single K(E_9) covariant `Dirac equation', with the linear system of N=16 supergravity as the gauge connection. These results suggest the existence of an `off-shell' realization of K(E_9) in terms of an infinite component spinor representation. We conclude with some coments on `generalized holonomies' of M theory. | |
| dc.description | 25 pages, LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/hep-th/0407055 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0407055 | |
| dc.identifier | Q.J.Pure Appl.Math. 1 (2005) 180-204 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/52637 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On K(E_9) | |
| dc.type | text |