Results 1 to 10 of about 1,334 (305)
Integrable Lattice Spin Models from Supersymmetric Dualities [PDF]
Physics of Particles and Nuclei Letters, 2018 Recently, there has been observed an interesting correspondence between supersymmetric quiver gauge theories with four supercharges and integrable lattice models of statistical mechanics such that the two-dimensional spin lattice is the quiver diagram ...
Ilmar Gahramanov, Shahriyar Jafarzade
exaly +6 more sources
New integrable lattice models from Fuss-Catalan algebras
Nuclear Physics B, 1998 We construct new hyperbolic solutions of the Yang-Baxter equation, using the Fuss-Catalan algebras, a set of multi-colored versions of the Temperley-Lieb algebra, recently introduced by Bisch and Jones.
P Di Francesco
exaly +3 more sources
Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation
Symmetry, Integrability and Geometry: Methods and Applications, 2010 Applying braided Yang-Baxter equation quantum integrable and Bethe ansatz solvable 1D anyonic lattice and field models are constructed. Along with known models we discover novel lattice anyonic and q-anyonic models as well as nonlinear Schrödinger ...
Anjan Kundu
doaj +2 more sources
Solution of tetrahedron equation and cluster algebras
Journal of High Energy Physics, 2021 We notice a remarkable connection between the Bazhanov-Sergeev solution of Zamolodchikov tetrahedron equation and certain well-known cluster algebra expression. The tetrahedron transformation is then identified with a sequence of four mutations.
P. Gavrylenko +2 more
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Flag integrable models and generalized graded algebras
Journal of High Energy Physics, 2023 We introduce new classes of integrable models that exhibit a structure similar to that of flag vector spaces. We present their Hamiltonians, R-matrices and Bethe-ansatz solutions. These models have a new type of generalized graded algebra symmetry.
Marius de Leeuw +2 more
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Journal of High Energy Physics, 2020 We present a general formula for constructing R-matrices with non-additive spectral parameters associated with a type-I quantum superalgebra. The spectral parameters originate from two one-parameter families of inequivalent finite-dimensional irreducible
Yao-Zhong Zhang, Jason L. Werry
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Duality relations for overlaps of integrable boundary states in AdS/dCFT
Journal of High Energy Physics, 2021 The encoding of all possible sets of Bethe equations for a spin chain with SU(N|M) symmetry into a QQ-system calls for an expression of spin chain overlaps entirely in terms of Q-functions.
Charlotte Kristjansen +2 more
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Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras [PDF]
, 2007 The correspondence between ordinary differential equations and Bethe ansatz equations for integrable lattice models in their continuum limits is generalised to vertex models related to classical simple Lie algebras.
Dunning, Clare +4 more
core +1 more source
On Bethe vectors in gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant integrable models
Journal of High Energy Physics, 2018 We consider quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant R-matrix.
A. Liashyk, N. A. Slavnov
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Spectrum of the quantum integrable D 2 2 $$ {D}_2^{(2)} $$ spin chain with generic boundary fields
Journal of High Energy Physics, 2022 Exact solution of the quantum integrable D 2 2 $$ {D}_2^{(2)} $$ spin chain with generic integrable boundary fields is constructed. It is found that the transfer matrix of this model can be factorized as the product of those of two open staggered ...
Guang-Liang Li +4 more
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