Symplectic invariants, Virasoro constraints and Givental decomposition
| dc.creator | Orantin, N. | |
| dc.date | 2008-08-05 | |
| dc.date | 2008-10-27 | |
| dc.date.accessioned | 2026-07-07T10:12:55Z | |
| dc.date.available | 2026-07-07T10:12:55Z | |
| dc.description | Following the works of Alexandrov, Mironov and Morozov, we show that the symplectic invariants of \cite{EOinvariants} built from a given spectral curve satisfy a set of Virasoro constraints associated to each pole of the differential form $ydx$ and each zero of $dx$ . We then show that they satisfy the same constraints as the partition function of the Matrix M-theory defined by Alexandrov, Mironov and Morozov. The duality between the different matrix models of this theory is made clear as a special case of dualities between symplectic invariants. Indeed, a symplectic invariant admits two decomposition: as a product of Kontsevich integrals on the one hand, and as a product of 1 hermitian matrix integral on the other hand. These two decompositions can be though of as Givental formulae for the KP tau functions. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/0808.0635 | |
| dc.identifier | http://arxiv.org/abs/0808.0635 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172353 | |
| dc.subject | Mathematical Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | 37K10; 15A52; 14H70 | |
| dc.title | Symplectic invariants, Virasoro constraints and Givental decomposition | |
| dc.type | text |