On Symmetries of Target Space for Sigma-model of p-brane Origin
| dc.creator | Ivashchuk, V. D. | |
| dc.date | 1998-04-15 | |
| dc.date | 1998-08-08 | |
| dc.date.accessioned | 2026-07-07T04:24:27Z | |
| dc.date.available | 2026-07-07T04:24:27Z | |
| dc.description | The target space M for the sigma-model appearing in theories with p-branes is considered. It is proved that M is a homogeneous space G/H. It is symmetric if and only if the U-vectors governing the sigma-model metric are either coinciding or mutually orthogonal. For nonzero noncoinciding U-vectors the Killing equations are solved. Using a block-orthogonal decomposition of the set of the U-vectors it is shown that under rather general assumptions the algebra of Killing vectors is a direct sum of several copies of sl(2,R) algebras (corresponding to 1-vector blocks), several solvable Lie algebras (corresponding to multivector blocks) and the Killing algebra of a flat space. The target space manifold is decomposed in a product of a flat space, several 2-dimensional spaces of constant curvature (e.g. Lobachevsky space, part of anti-de Sitter space) and several solvable Lie group manifolds. | |
| dc.description | 7 pages, Latex. Minor corrections. Submit. to Grav. and Cosmology | |
| dc.identifier | https://arxiv.org/abs/hep-th/9804102 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9804102 | |
| dc.identifier | Grav.Cosmol. 4 (1998) 217-220 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/55420 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On Symmetries of Target Space for Sigma-model of p-brane Origin | |
| dc.type | text |