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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2001

Integrable and Conformal Boundary Conditions for Z_k Parafermions on a Cylinder

Résumé

We study integrable and conformal boundary conditions for ^sl(2) Z_k parafermions on a cylinder. These conformal field theories are realized as the continuum scaling limit of critical A-D-E lattice models with negative spectral parameter. The conformal boundary conditions labelled by (a,m) in (G, Z_{2k}) are identified with associated integrable lattice boundary conditions labelled by (r,a) in (A_{g-2},G) where g is the Coxeter number of the A-D-E graph G. We obtain analytically the boundary free energies, present general expressions for the parafermion cylinder partition functions and confirm these results by numerical calculations.

Dates et versions

hal-00248888 , version 1 (08-02-2008)

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Christian Mercat, Paul A. Pearce. Integrable and Conformal Boundary Conditions for Z_k Parafermions on a Cylinder. Journal of Physics A: Mathematical and Theoretical, 2001, 34, pp.5751-5772. ⟨10.1088/0305-4470/34/29/302⟩. ⟨hal-00248888⟩
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