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- W3101472019 abstract "We study the algebraic formulation of exact factorizable S-matrices for integrable two-dimensional field theories. We show that different formulations of the S-matrices for the Potts field theory are essentially equivalent, in the sense that they can be expressed in the same way as elements of the Temperley–Lieb algebra, in various representations. This enables us to construct the S-matrices for certain nonlinear sigma models that are invariant under the Lie 'supersymmetry' algebras sl(m + n|n) (m = 1, 2, n > 0), both for the bulk and for the boundary, simply by using another representation of the same algebra. These S-matrices represent the perturbation of the conformal theory at θ = π by a small change in the topological angle θ. The m = 1, n = 1 theory has applications to the spin quantum Hall transition in disordered fermion systems. We also find S-matrices describing the flow from weak to strong coupling, both for θ = 0 and θ = π, in certain other supersymmetric sigma models." @default.
- W3101472019 created "2020-11-23" @default.
- W3101472019 creator A5075910382 @default.
- W3101472019 creator A5089808487 @default.
- W3101472019 date "2002-12-02" @default.
- W3101472019 modified "2023-09-27" @default.
- W3101472019 title "Exact<i>S</i>-matrices for supersymmetric sigma models and the Potts model" @default.
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- W3101472019 doi "https://doi.org/10.1088/0305-4470/35/50/301" @default.
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