Modular invariance of vertex operator algebras satisfying C_2-cofiniteness
| dc.creator | Miyamoto, Masahiko | |
| dc.date | 2002-09-10 | |
| dc.date | 2002-10-02 | |
| dc.date.accessioned | 2026-07-07T04:50:43Z | |
| dc.date.available | 2026-07-07T04:50:43Z | |
| dc.description | We show that C_2-cofiniteness is enough to prove a modular invariance property of vertex operator algebras without assuming the semisimplicity of Zhu algebra. For example, if a VOA V=\oplus_{m=0}^{\infty}V_m is C_2-cofinite, then the space spanned by generalized characters of V-modules is invariant under the action of SL_2(\Z). In this case, the central charge and conformal weights are all rational numbers. Namely, a VOA satisfying C_2-cofiniteness is a rational conformal field theory in a sense. We also show that C_2-cofiniteness is equivalent to the condition that every weak module is an \N-graded weak module which is a direct sum of generalized eigenspaces of L(0). | |
| dc.description | 34 pages. We get rid of the condition of being of``CFT type''. Latex | |
| dc.identifier | https://arxiv.org/abs/math/0209101 | |
| dc.identifier | http://arxiv.org/abs/math/0209101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64892 | |
| dc.subject | Quantum Algebra | |
| dc.title | Modular invariance of vertex operator algebras satisfying C_2-cofiniteness | |
| dc.type | text |