Supersymmetric extension of qKZ-Ruijsenaars correspondence

DOI10.1016/j.nuclphysb.2018.12.014zbMath1409.81185arXiv1810.12658OpenAlexW2899341971WikidataQ128721488 ScholiaQ128721488MaRDI QIDQ1731633

A. Grekov, Andrei V. Zotov, Anton V. Zabrodin

Publication date: 13 March 2019

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.12658

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Supersymmetry and quantum mechanics (81Q60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Applications of linear algebraic groups to the sciences (20G45)

Related Items (5)

Fifth-order generalized Heisenberg supermagnetic models ⋮ Quantum-classical duality for Gaudin magnets with boundary ⋮ Quantum trace formulae for the integrals of the hyperbolic Ruijsenaars-Schneider model ⋮ Dualities in quantum integrable many-body systems and integrable probabilities. I. ⋮ Quantum-classical correspondence for gl(1|1) supersymmetric Gaudin magnet with boundary

Cites Work

• Trigonometric version of quantum-classical duality in integrable systems
• Spectrum of quantum transfer matrices via classical many-body systems
• KZ characteristic variety as the zero set of classical Calogero-Moser Hamiltonians
• Classical tau-function for quantum spin chains
• Current algebras and Wess-Zumino model in two dimensions
• Quantum affine algebras and holonomic difference equations
• QKZ-Ruijsenaars correspondence revisited
• KZ-Calogero correspondence revisited
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

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