Notes on the Verlinde formula in non-rational conformal field theories
| dc.creator | Jego, Charles | |
| dc.creator | Troost, Jan | |
| dc.date | 2006-01-13 | |
| dc.date | 2006-10-31 | |
| dc.date.accessioned | 2026-07-07T10:45:41Z | |
| dc.date.available | 2026-07-07T10:45:41Z | |
| dc.description | We review and extend evidence for the validity of a generalized Verlinde formula in particular non-rational conformal field theories. We identify a subset of representations of the chiral algebra in non-rational conformal field theories that give rise to an analogue of the relation between modular S-matrices and fusion coefficients in rational conformal field theories. To that end we review and extend the Cardy-type brane calculations in bosonic and supersymmetric Liouville theory (and its duals) as well as in the hyperbolic three-plane H3+. We analyze the three-point functions of Liouville theory and of H3+ in detail to directly identify the fusion coefficients from the operator product expansion. | |
| dc.description | 29 pages, 6 figures, v2: minor corrections, PRD version | |
| dc.identifier | https://arxiv.org/abs/hep-th/0601085 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0601085 | |
| dc.identifier | Phys.Rev.D74:106002,2006 | |
| dc.identifier | doi:10.1103/PhysRevD.74.106002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/182990 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Notes on the Verlinde formula in non-rational conformal field theories | |
| dc.type | text |