Quantum-classical correspondence for gl(1|1) supersymmetric Gaudin magnet with boundary (Q5871999)

scientific article; zbMATH DE number 7646198

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English	Quantum-classical correspondence for gl(1\|1) supersymmetric Gaudin magnet with boundary	scientific article; zbMATH DE number 7646198

Statements

instance of

scholarly article

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title

Quantum-classical correspondence for gl(1|1) supersymmetric Gaudin magnet with boundary (English)

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published in

Journal of Physics A: Mathematical and Theoretical

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publication date

26 January 2023

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full work available at URL

https://arxiv.org/abs/2006.06717

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zbMATH Keywords

supersymmetric Gaudin models

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quantum-classical duality

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integrable systems

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MaRDI profile type

MaRDI publication profile

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cites work

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The master $T$-operator for the Gaudin model and the KP hierarchy

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General boundary conditions for the and open spin chains

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Non-diagonal boundary conditions for \mathfrak {gl}(1|1) super spin chains

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The nested Bethe ansatz for ‘all’ open spin chains with diagonal boundary conditions

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The nested Bethe ansatz for ‘all’ closed spin chains

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Scalar products in twisted XXX spin chain. Determinant representation

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Off-shell scalar products for the $XXZ$ spin chain with open boundaries

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A class of Calogero type reductions of free motion on a simple Lie group

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KZ-Calogero correspondence revisited

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QKZ-Ruijsenaars correspondence revisited

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Quantum cohomology of flag manifolds and Toda lattices

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Integrable open-boundary conditions for the supersymmetric $t$-$J$ model. The quantum-group-invariant case

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Exact diagonalization of the quantum supersymmetric SU$_{q}(n|m)$ model

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Spectrum of quantum transfer matrices via classical many-body systems

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Trigonometric version of quantum-classical duality in integrable systems

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Asymmetric six-vertex model and the classical Ruijsenaars-Schneider system of particles

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Supersymmetric extension of qKZ-Ruijsenaars correspondence

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Ruijsenaars' commuting difference operators as commuting transfer matrices

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Crossing symmetry in elliptic solutions of the Yang-Baxter equation and a new L-operator for Belavin's solution

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YANG-BAXTER EQUATION FOR BROKEN $\mathbb{Z}_N^{\otimes n-1}$ MODELS

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Gaudin magnet with boundary and generalized Knizhnik-Zamolodchikov equation

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Quasi-classical descendants of disordered vertex models with boundaries

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Supersymmetric Bethe ansatz and Baxter equations from discrete Hirota dynamics

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Bäcklund transformations for the difference Hirota equation and the supersymmetric Bethe ansatz

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An integrable case of thep+ ippairing Hamiltonian interacting with its environment

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On the boundaries of quantum integrability for the spin-1/2 Richardson-Gaudin system

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Integrable connections related to zonal spherical functions

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Integration of quantum many-body problems by affine Knizhnik- Zamolodchikov equations

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DEGENERATE AFFINE HECKE ALGEBRAS AND TWO-DIMENSIONAL PARTICLES

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Gaudin Hamiltonians generate the Bethe algebra of a tensor power of the vector representation of $\mathfrak{gl}_{N}$

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KZ characteristic variety as the zero set of classical Calogero-Moser Hamiltonians

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On three dimensional quiver gauge theories and integrability

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Completely integrable Hamiltonian systems connected with semisimple Lie algebras

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Q5688881

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Boundary conditions for integrable quantum systems

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Supersymmetric quantum spin chains and classical integrable systems

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Quantum-classical duality for Gaudin magnets with boundary

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On factorized Lax pairs for classical many-body integrable systems

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Identifiers

DOI

10.1088/1751-8121/abbf07

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5871999