Boundary operators in theO(n) and RSOS matrix models
نویسندگان
چکیده
منابع مشابه
Boundary operators in the O ( n ) and RSOS matrix models
We study the new boundary condition of the O(n) model proposed by Jacobsen and Saleur using the matrix model. The spectrum of boundary operators and their conformal weights are obtained by solving the loop equations. Using the diagrammatic expansion of the matrix model as well as the loop equations, we make an explicit correspondence between the new boundary condition of the O(n) model and the ...
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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...
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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.
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We construct and solve the boundary Yang-Baxter equation in the RSOS/SOS representation. We find two classes of trigonometric solutions; diagonal and nondiagonal. As a lattice model, these two classes of solutions correspond to RSOS/SOS models with fixed and free boundary spins respectively. Applied to (1+1)-dimenional quantum field theory, these solutions give the boundary scattering amplitude...
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Let $$(Lv)(t)=sum^{n} _{i,j=1} (-1)^{j} d_{j} left( s^{2alpha}(t) b_{ij}(t) mu(t) d_{i}v(t)right),$$ be a non-selfadjoint differential operator on the Hilbert space $L_{2}(Omega)$ with Dirichlet-type boundary conditions. In continuing of papers [10-12], let the conditions made on the operator $ L$ be sufficiently more general than [11] and [12] as defined in Section $1$. In this paper, we estim...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2009
ISSN: 1029-8479
DOI: 10.1088/1126-6708/2009/01/009