Results 11 to 20 of about 862 (261)
NEW SERIES OF 3D LATTICE INTEGRABLE MODELS [PDF]
International Journal of Modern Physics A, 1994 In this paper we present a new series of three-dimensional integrable lattice models with N colors. The case N=2 generalizes the elliptic model of Ref. 8. The weight functions of the models satisfy modified tetrahedron equations with N states and give a commuting family of two-layer transfer matrices.
Mangazeev, V. V. +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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Microscopic conservation laws for integrable lattice models [PDF]
Monatshefte für Mathematik, 2021 22 ...
Benjamin Harrop-Griffiths +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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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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Integrability of q-oscillator lattice model [PDF]
Physics Letters A, 2006 A simple formulation of an exactly integrable $q$-oscillator model on two dimensional lattice (in 2+1 dimensional space-time) is given. Its interpretation in the terms of 2d quantum inverse scattering method and nested Bethe Ansatz equations is discussed.
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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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Why scalar products in the algebraic Bethe ansatz have determinant representation
Journal of High Energy Physics, 2019 We show that the scalar products of on-shell and off-shell Bethe vectors in the algebralic Bethe ansatz solvable models satisfy a system of linear equations. We find solutions to this system for a wide class of integrable models. We also apply our method
S. Belliard, N. A. Slavnov
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Integral Lattice Models from Gauge Theory [PDF]
Notices of the International Congress of Chinese Mathematicians, 2017 20 ...
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