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Integrable and Conformal Boundary Conditions for Z_k Parafermions on a Cylinder

Christian Mercat·Paul A. Pearce
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Abstract

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.

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Christian Mercat, Paul A. Pearce. 2001-06-26. Integrable and Conformal Boundary Conditions for Z_k Parafermions on a Cylinder. https://doi.org/10.1088/0305-4470%2F34%2F29%2F302

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