Deformations of chiral algebras
| dc.creator | Tamarkin, Dimitri | |
| dc.date | 2003-04-15 | |
| dc.date.accessioned | 2026-07-07T04:56:56Z | |
| dc.date.available | 2026-07-07T04:56:56Z | |
| dc.description | We start studying chiral algebras (as defined by A. Beilinson and V. Drinfeld) from the point of view of deformation theory. First, we define the notion of deformation of a chiral algebra on a smooth curve $X$ over a bundle of local artinian commutative algebras on $X$ equipped with a flat connection (whereas `usual' algebraic structures are deformed over a local artinian algebra) and we show that such deformations are controlled by a certain *-Lie algebra $\mathfrak g$. Then we try to contemplate a possible additional structure on $\mathfrak g$ and we conjecture that this structure up to homotopy is a chiral analogue of Gerstenhaber algebra, i.e. a coisson algebra with odd coisson bracket (in the terminology of Beilinson-Drinfeld). Finally, we discuss possible applications of this structure to the problem of quantization of coisson algebras. | |
| dc.identifier | https://arxiv.org/abs/math/0304211 | |
| dc.identifier | http://arxiv.org/abs/math/0304211 | |
| dc.identifier | Proceedings of the ICM, Beijing 2002, vol. 2, 105--118 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67098 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 14, 18 | |
| dc.title | Deformations of chiral algebras | |
| dc.type | text |