Notes on the Verlinde formula in non-rational conformal field theories - Archive ouverte HAL
Article Dans Une Revue Physical Review D Année : 2006

Notes on the Verlinde formula in non-rational conformal field theories

Résumé

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 H_3^+. We analyze the three-point functions of Liouville theory and of H_3^+ in detail to directly identify the fusion coefficients from the operator product expansion.

Dates et versions

hal-00022092 , version 1 (31-03-2006)

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Citer

Charles Jego, Jan Troost. Notes on the Verlinde formula in non-rational conformal field theories. Physical Review D, 2006, 74, pp.106002. ⟨hal-00022092⟩
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