Quasi-Exactly Solvable Models and W-Algebras
| dc.creator | Ushveridze, A. G. | |
| dc.date | 1996-02-14 | |
| dc.date | 1996-02-22 | |
| dc.date.accessioned | 2026-07-07T09:04:16Z | |
| dc.date.available | 2026-07-07T09:04:16Z | |
| dc.description | The relationship between the quasi-exactly solvable problems and W-algebras is revealed. This relationship enabled one to formulate a new general method for building multi-dimensional and multi-channel exactly and quasi-exactly solvable models with hermitian hamiltonians. The method is based on the use of multi-parameter spectral differential equations constructable from generators of finite-dimensional representations of simple Lie algebras and from generators of the associated W-algebras. It is shown that algebras B(n), C(n+1), D(2n+2) with n>1 and also algebras A(1), G(2), F(4), E(7) and E(8) always lead to models with hermitian hamiltonians. The situation with the remaining algebras A(n), D(2n+3) with n>1 and E(6) is still unclear. | |
| dc.description | LaTeX, 14 pages. This is a new version with Acknowledgements which I have forgotten to include into the old one | |
| dc.identifier | https://arxiv.org/abs/hep-th/9602076 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9602076 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149313 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Quasi-Exactly Solvable Models and W-Algebras | |
| dc.type | text |