Twisted Modules over Vertex Algebras on Algebraic Curves
| dc.creator | Frenkel, Edward | |
| dc.creator | Szczesny, Matthew | |
| dc.date | 2001-12-19 | |
| dc.date | 2003-08-15 | |
| dc.date.accessioned | 2026-07-07T04:45:22Z | |
| dc.date.available | 2026-07-07T04:45:22Z | |
| dc.description | We extend the geometric approach to vertex algebras developed by the first author to twisted modules, allowing us to treat orbifold models in conformal field theory. Let $V$ be a vertex algebra, $H$ a finite group of automorphisms of $V$, and $C$ an algebraic curve such that $H \subset \on{Aut}(C)$. We show that a suitable collection of twisted $V$--modules gives rise to a section of a certain sheaf on the quotient $X=C/H$. We introduce the notion of conformal blocks for twisted modules, and analyze them in the case of the Heisenberg and affine Kac-Moody vertex algebras. We also give a chiral algebra interpretation of twisted modules. | |
| dc.identifier | https://arxiv.org/abs/math/0112211 | |
| dc.identifier | http://arxiv.org/abs/math/0112211 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62930 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Quantum Algebra | |
| dc.title | Twisted Modules over Vertex Algebras on Algebraic Curves | |
| dc.type | text |