Results 71 to 80 of about 840 (180)
Scalar products of Bethe vectors in the models with gl(m|n) symmetry
Nuclear Physics B, 2017 We study scalar products of Bethe vectors in the models solvable by the nested algebraic Bethe ansatz and described by gl(m|n) superalgebra. Using coproduct properties of the Bethe vectors we obtain a sum formula for their scalar products.
A. Hutsalyuk +4 more
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Generalized Gibbs Ensemble and string-charge relations in nested Bethe Ansatz
SciPost Physics, 2020 The non-equilibrium steady states of integrable models are believed to be described by the Generalized Gibbs Ensemble (GGE), which involves all local and quasi-local conserved charges of the model. In this work we investigate integrable lattice models
György Z. Fehér, Balázs Pozsgay
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Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract We tackle the problem of constructing R$R$‐matrices for the category O$\mathcal {O}$ associated to the Borel subalgebra of an arbitrary untwisted quantum loop algebra Uq(g)$U_q({\mathfrak {g}})$. For this, we define an invertible exact functor Fq$\mathcal {F}_q$ from the category O$\mathcal {O}$ linked to Uq−1(g)$U_{q^{-1}}({\mathfrak {g ...
Théo Pinet
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A note on gl2 $$ \mathfrak{g}{\mathfrak{l}}_2 $$-invariant Bethe vectors
Journal of High Energy Physics, 2018 We consider gl2 $$ \mathfrak{g}{\mathfrak{l}}_2 $$-invariant quantum integrable models solvable by the algebraic Bethe ansatz. We show that the form of on-shell Bethe vectors is preserved under certain twist transformations of the monodromy matrix.
S. Belliard, N. A. Slavnov
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The Bethe Ansatz is a powerful method in the theory of quantum integrable models, essential for determining the energy spectrum of dynamical systems - from spin chains in magnetism to models in high-energy physics. This book provides a comprehensive introduction to the Bethe ansatz, from its historical roots to modern developments.
openaire +3 more sources
Bethe Ansatz for the Ruijsenaars Model of BC_1-Type
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We consider one-dimensional elliptic Ruijsenaars model of type $BC_1$. It is given by a three-term difference Schrödinger operator $L$ containing 8 coupling constants.
Oleg Chalykh
doaj
Exact solution of an anisotropic J1 − J2 spin chain with antiperiodic boundary condition
Nuclear Physics B, 2020 The exact solution of an integrable anisotropic Heisenberg spin chain with nearest-neighbor, next-nearest-neighbor and scalar chirality couplings is studied, where the boundary condition is the antiperiodic one.
Yi Qiao +3 more
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Universal Bethe ansatz solution for the Temperley–Lieb spin chain
Nuclear Physics B, 2016 We consider the Temperley–Lieb (TL) open quantum spin chain with “free” boundary conditions associated with the spin-s representation of quantum-deformed sl(2).
Rafael I. Nepomechie, Rodrigo A. Pimenta
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Testing the Bethe ansatz with large N renormalons. [PDF]
Eur Phys J Spec Top, 2021 Mariño M, Miravitllas R, Reis T.
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Bethe/Gauge correspondence for A N spin chains with integrable boundaries
Journal of High Energy PhysicsWe continue the survey initiated in [1] to explore the Bethe/Gauge correspondence between supersymmetric SO/Sp gauge theories in 2d/3d/4d and open spin chain with integrable boundaries.
Ziwei Wang, Rui-Dong Zhu
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