Congruence subgroups and rational conformal field theory
| dc.creator | Coste, A. | |
| dc.creator | Gannon, T. | |
| dc.date | 1999-09-15 | |
| dc.date.accessioned | 2026-07-07T05:30:46Z | |
| dc.date.available | 2026-07-07T05:30:46Z | |
| dc.description | We address here the question of whether the characters of an RCFT are modular functions for some level N, i.e. whether the representation of the modular group SL_2(Z) coming from any RCFT is trivial on some congruence subgroup. We prove that if the matrix T, associated to $(\matrix{1&1\cr 0&1})\in{\rm SL}_2(\Z)$, has ODD order, then this must be so. When the order of T is even, we present a simple test which if satisfied -- and we conjecture it always will be -- implies that the characters for that RCFT will also be level N. We use this to explain three curious observations in RCFT made by various authors. | |
| dc.description | 20 pp, plain tex | |
| dc.identifier | https://arxiv.org/abs/math/9909080 | |
| dc.identifier | http://arxiv.org/abs/math/9909080 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79101 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Congruence subgroups and rational conformal field theory | |
| dc.type | text |