Flag Spaces in KP Theory and Virasoro Action on \det D_j and Segal-Wilson τ-Function
| dc.creator | Grinevich, P. G. | |
| dc.creator | Orlov, A. Yu. | |
| dc.date | 1997-09-17 | |
| dc.date.accessioned | 2026-07-07T04:32:22Z | |
| dc.date.available | 2026-07-07T04:32:22Z | |
| dc.description | It is well-known that the algebra of vector fields on the circle acts on the space of Riemann surfaces with a marked point and a local parameter at this point. We show that this action has a natural realization in the soliton theory, indeed it coincides with the action of some non-isospectral Kadomtsev-Petviashvili symmetries on the finite-gap solutions. A technique based on the so-called Cauchy-Baker-Akhiezer kernel is developed. The deformations of the τ-function corresponding to the Baker-Akhiezer forms of tensor weight j generate representations of the Virasoro algebra with a central charge 6j^2-6j+1. A system including the Kadomtsev-Petviashvili hierarchy and the Toda lattice simultaneously is considered. The Virasoro representations corresponding to such a system explicitly depend on an extra discrete time t_0. The tau-function for this system is defined in terms of infinite dimensional flag spaces, generalizing the grassmanians. | |
| dc.description | LaTeX, 24 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/9804019 | |
| dc.identifier | http://arxiv.org/abs/math-ph/9804019 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58165 | |
| dc.subject | Mathematical Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Flag Spaces in KP Theory and Virasoro Action on \det D_j and Segal-Wilson τ-Function | |
| dc.type | text |