Solvable RSOS models based on the dilute BWM algebra
نویسندگان
چکیده
منابع مشابه
Representations of Two-Colour BWM Algebras and Solvable Lattice Models
Many of the known solutions of the Yang-Baxter equation, which are related to solvable lattice models of vertexand IRF-type, yield representations of the Birman-Wenzl-Murakami algebra. From these, representations of a two-colour generalization of the Birman-Wenzl-Murakami algebra can be constructed, which in turn are used to derive trigonometric solutions to the YangBaxter equation. In spirit, ...
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We give a construction of impurity operators in the ‘algebraic analysis’ picture of RSOS models. Physically, these operators are half-infinite insertions of certain fusion-RSOS Boltzmann weights. They are the face analogue of insertions of higher spin lines in vertex models. Mathematically, they are given in terms of intertwiners of Uq(ŝl2 ) modules. We present a detailed perturbation theory ch...
متن کاملCrystalline Spinon Basis for RSOS Models
The crystalline spinon basis for the RSOS models associated with ŝl2 is studied. This basis gives fermionic type character formulas for the branching coefficients of the coset (ŝl2)l × (ŝl2)N/(ŝl2)l+N . In addition the path description of the parafermion characters is found as a limit of the spinon description of the string functions.
متن کامل“Dilute” Birman–Wenzl–Murakami Algebra
Explicit expressions for three series of R matrices which are related to a “dilute” generalisation of the Birman–Wenzl–Murakami algebra are presented. Of those, one series is equivalent to the quantum R matrices of the D (2) n+1 generalised Toda systems whereas the remaining two series appear to be new. A “dilute” generalisation of the Birman–Wenzl–Murakami (BWM) algebra [1, 2] has recently bee...
متن کاملCorrelators in integrable quantum field theory . The scaling RSOS models
The study of the scaling limit of two-dimensional models of statistical mechanics within the framework of integrable field theory is illustrated through the example of the RSOS models. Starting from the exact description of regime III in terms of colliding particles, we compute the correlation functions of the thermal, ϕ 1,2 and (for some cases) spin operators in the two-particle approximation....
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1995
ISSN: 0550-3213
DOI: 10.1016/0550-3213(94)00405-4