String equations for the unitary matrix model and the periodic flag manifold
The periodic flag manifold (in the Sato Grassmannian context) description of the modified Korteweg-de Vries hierarchy is used to analyse the translational and scaling self-similar solutions of this hierarchy. These solutions are characterized by the string equations appearing in the double scaling l...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1994 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/59705 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/59705 |
| Access Level: | acceso abierto |
| Palabra clave: | 51-73 2-Dimensional quantum-gravity Geometry Física-Modelos matemáticos Física matemática |
| Sumario: | The periodic flag manifold (in the Sato Grassmannian context) description of the modified Korteweg-de Vries hierarchy is used to analyse the translational and scaling self-similar solutions of this hierarchy. These solutions are characterized by the string equations appearing in the double scaling limit of the symmetric unitary matrix model with boundary terms. The moduli space is a double covering of the moduli space in the Sato Grassmannian for the corresponding self-similar solutions of the Korteweg-de Vries hierarchy, i.e. of stable 2D quantum gravity. The potential modified Korteweg-de Vries hierarchy, which can be described in terms of a line bundle over the periodic flag manifold, and its self-similar solutions corresponds to the symmetric unitary matrix model. Now, the moduli space is in one-to-one correspondence with a subset of codimension one of the moduli space in the Sato Grassmannian corresponding to self-similar solutions of the Korteweg-de Vries hierarchy. |
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