Integrable boundaries, conformal boundary conditions and A-D-E fusion rules
نویسندگان
چکیده
منابع مشابه
Integrable and Conformal Twisted Boundary Conditions for sl(2) A-D-E Lattice Models
We study integrable realizations of conformal twisted boundary conditions for sl(2) unitary minimal models on a torus. These conformal field theories are realized as the continuum scaling limit of critical G = A,D,E lattice models with positive spectral parameter u > 0 and Coxeter number g. Integrable seams are constructed by fusing blocks of elementary local face weights. The usual A-type fusi...
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Integrable boundary conditions are studied for critical A–D–E and general graph-based lattice models of statistical mechanics. In particular, using techniques associated with the Temperley-Lieb algebra and fusion, a set of boundary Boltzmann weights which satisfies the boundary Yang-Baxter equation is obtained for each boundary condition. When appropriately specialized, these boundary weights, ...
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We construct integrable lattice realizations of conformal twisted boundary conditions for ŝl(2) unitary minimal models on a torus. These conformal field theories are realized as the continuum scaling limit of critical A-D-E lattice models with positive spectral parameter. The integrable seam boundary conditions are labelled by (r, s, ζ) ∈ (Ag−2, Ag−1,Γ) where Γ is the group of automorphisms of ...
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We study integrable and conformal boundary conditions for ŝl(2) Zk 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) ∈ (G,Z2k) are identified with associated integrable lattice boundary conditions labelled by (r, a) ∈ (Ag−2, ...
متن کاملIntegrable boundary conditions and modified Lax equations
We consider integrable boundary conditions for both discrete and continuum classical integrable models. Local integrals of motion generated by the corresponding “transfer” matrices give rise to time evolution equations for the initial Lax operator. We systematically identify the modified Lax pairs for both discrete and continuum boundary integrable models, depending on the classical r-matrix an...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1998
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/31/50/001