Solutions of the Yang-Baxter equation: descendants of the six-vertex model from the Drinfeld doubles of dihedral group algebras

DOI10.1016/j.nuclphysb.2011.01.034zbMath1208.82016arXiv1003.0501OpenAlexW2094733252MaRDI QIDQ632445

K. A. Dancer, Phillip S. Isaac, Peter E. Finch, J. R. Links

Publication date: 24 March 2011

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.0501

zbMATH Keywords

Yang-Baxter equationDrinfeld double of finite groupsquasi-triangular Hopf algebras

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Exactly solvable models; Bethe ansatz (82B23) Hopf algebras and their applications (16T05)

Related Items (5)

Hopf algebra symmetries of an integrable Hamiltonian for anyonic pairing ⋮ Bethe ansatz solution of an integrable, non-Abelian anyon chain with \(D(D_{3})\) symmetry ⋮ Ground-state phase diagram for a system of interacting, \(D(D_{3})\) non-Abelian anyons ⋮ Integrable Hamiltonians withD(D_n) symmetry from the Fateev–Zamolodchikov model ⋮ Integrable boundary conditions for a non-Abelian anyon chain with \(D(D_{3})\) symmetry

Cites Work

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• Non-Abelian anyons and topological quantum computation
• BAXTERIZATION
• Representations of the quantum doubles of finite group algebras and spectral parameter dependent solutions of the Yang–Baxter equation
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• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
• On the construction of trigonometric solutions of the Yang-Baxter equation
• Quasi Hopf algebras, group cohomology and orbifold models

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