Two-Dimensional Dilaton Gravity and Toda - Liouville Integrable Models
| dc.creator | de Alfaro, V. | |
| dc.creator | Filippov, A. T. | |
| dc.date | 2008-11-27 | |
| dc.date.accessioned | 2026-07-07T12:06:11Z | |
| dc.date.available | 2026-07-07T12:06:11Z | |
| dc.description | General properties of a class of two-dimensional dilaton gravity (DG) theories with multi-exponential potentials are studied and a subclass of these theories, in which the equations of motion reduce to Toda and Liouville equations, is treated in detail. A combination of parameters of the equations should satisfy a certain constraint that is identified and solved for the general multi-exponential model. From the constraint it follows that in DG theories the integrable Toda equations, generally, cannot appear without accompanying Liouville equations. We also show how the wave-like solutions of the general Toda-Liouville systems can be simply derived. In the dilaton gravity theory, these solutions describe nonlinear waves coupled to gravity as well as static states and cosmologies. A special attention is paid to making the analytic structure of the solutions of the Toda equations as simple and transparent as possible, with the aim to gain a better understanding of realistic theories reduced to dimensions 1+1 and 1+0 or 0+1. | |
| dc.description | 14 pages. To be published in Proceedings of `QUARKS-2008', Sergiev Posad, 23-29 May, 2008 | |
| dc.identifier | https://arxiv.org/abs/0811.4501 | |
| dc.identifier | http://arxiv.org/abs/0811.4501 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/208581 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Two-Dimensional Dilaton Gravity and Toda - Liouville Integrable Models | |
| dc.type | text |