Kontsevich - Miwa Transform of the Virasoro Constraints as Null-Vector Decoupling Equations
| dc.creator | Semikhatov, A. M. | |
| dc.date | 1991-11-25 | |
| dc.date | 1991-11-28 | |
| dc.date.accessioned | 2026-07-07T09:00:56Z | |
| dc.date.available | 2026-07-07T09:00:56Z | |
| dc.description | We use the Kontsevich--Miwa transform to relate the Virasoro constraints on integrable hierarchies with the David-Distler-Kawai formalism of gravity-coupled conformal theories. The derivation relies on evaluating the energy-momentum tensor on the hierarchy at special values of the spectral parameter. We thus obtain in the Kontsevich parametrization the `master equations' which implement the Virasoro constraints and at the same time coincide with null-vector decoupling equations in an `auxiliary' conformal field theory on the complex plane of the spectral parameter. This gives the operators their gravitational scaling dimensions (for one out of four possibilities to choose signs), with the $α_+$ being equal to the background charge $Q$ of an abstract $bc$ system underlying the structure of the Virasoro constraints. The formalism also generalizes to the $N$-KdV hierarchies. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9111051 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9111051 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148158 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Kontsevich - Miwa Transform of the Virasoro Constraints as Null-Vector Decoupling Equations | |
| dc.type | text |