Integrable and Conformal Boundary Conditions for Z_k Parafermions on a Cylinder

Details Integrable and Conformal Boundary Conditions for Z_k Parafermions on a Cylinder Integrable and Conformal Boundary Conditions for Z_k Parafermions on a Cylinder

2001-03-28

arxiv.org/abs/hep-th/0103232v2

J.Phys.A34:5751-5772,2001

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/0305-4470/34/29/302

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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