Geometric Realization of the Segal--Sugawara Construction
| dc.creator | Ben-Zvi, David | |
| dc.creator | Frenkel, Edward | |
| dc.date | 2003-01-19 | |
| dc.date | 2003-01-20 | |
| dc.date.accessioned | 2026-07-07T04:54:33Z | |
| dc.date.available | 2026-07-07T04:54:33Z | |
| dc.description | We apply the technique of localization for vertex algebras to the Segal-Sugawara construction of an ``internal'' action of the Virasoro algebra on affine Kac-Moody algebras. The result is a lifting of twisted differential operators from the moduli of curves to the moduli of curves with bundles, with arbitrary decorations and complex twistings. This construction gives a uniform approach to a collection of phenomena describing the geometry of the moduli spaces of bundles over varying curves: the KZB equations and heat kernels on non-abelian theta functions, their critical level limit giving the quadratic parts of the Beilinson-Drinfeld quantization of the Hitchin system, and their infinite level limit giving a Hamiltonian description of the isomonodromy equations. | |
| dc.description | References added | |
| dc.identifier | https://arxiv.org/abs/math/0301206 | |
| dc.identifier | http://arxiv.org/abs/math/0301206 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66294 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Quantum Algebra | |
| dc.title | Geometric Realization of the Segal--Sugawara Construction | |
| dc.type | text |