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            <title xml:lang="en">Integrable and Conformal Boundary Conditions for Z_k Parafermions on a Cylinder</title>
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                <forename type="first">Christian</forename>
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                <title xml:lang="en">Integrable and Conformal Boundary Conditions for Z_k Parafermions on a Cylinder</title>
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                <term xml:lang="en">parafermions</term>
                <term xml:lang="en">conformal field theory</term>
                <term xml:lang="en">boundary conditions</term>
                <term xml:lang="en">integrable models</term>
                <term xml:lang="en">statistical mechanics</term>
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              <p>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.</p>
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