Solvable face models related to the Lie superalgebra sl(m\(| n)\)

DOI10.1007/BF00400376zbMath0726.17007OpenAlexW2045521509MaRDI QIDQ802721

Masato Okado

Publication date: 1991

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00400376

zbMATH Keywords

Lie superalgebrasBoltzmann weightselliptic theta functionssolvable face modelsstar-triangle relation

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Superalgebras (17A70)

Related Items (5)

Scalar products of the elliptic Felderhof model and elliptic Cauchy formula ⋮ Symmetric functions and wavefunctions of XXZ-type six-vertex models and elliptic Felderhof models by Izergin–Korepin analysis ⋮ The continuum limit of gl(\(M|N\)) spin chains ⋮ Elliptic free-fermion model with OS boundary and elliptic Pfaffians ⋮ Quantum inverse scattering method and generalizations of symplectic Schur functions and Whittaker functions

Cites Work

• Unnamed Item
• Universal R-matrix of the quantum superalgebra osp(2\(| 1)\)
• Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
• Solvable lattice models whose states are dominant integral weights of \(A^{(1)}_{n-1}\)
• Solvable lattice models related to the vector representation of classical simple Lie algebras
• Trigonometric solutions of triangle equations. Simple Lie superalgebras
• The \(A_ n^{(1)}\) face models
• Exactly solvable SOS models. Local height probabilities and theta function identities
• One-dimensional configuration sums in vertex models and affine Lie algebra characters

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