Integrable and Conformal Boundary Conditions for Z_k Parafermions on a Cylinder

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.

27 pages, 1 Encapsulated Postscript figure, uses lscape.sty

References in corpus (2)

• Generalised twisted partition functions
• The many faces of Ocneanu cells

Cited by in corpus (7)

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• Critical RSOS and Minimal Models II: Building Representations of the Virasoro Algebra and Fields
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• Critical interfaces of the Ashkin-Teller model at the parafermionic point
• Approaching the RSOS critical points through entanglement: one model for many universalities