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

2020/06/30 by M. Vasilyev, M Vasilyev, A. Zabrodin +3
Mathematics · Physics and Astronomy · #Action (physics) #Algebraic structures and combinatorial models #Boundary (topology) #Boundary value problem #Duality (order theory) #Integrable system #Magnet #Nonlinear Waves and Solitons #Quantum #Quantum Mechanics and Non-Hermitian Physics #Spectral line #hep-th #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1088/1751-8121/abbf07

published as J. Phys. A: Math. Theor. 53 (2020) 494002 · 21 pages, minor changes

arxiv created 2020/10/04 · openalex publication_date 2020/10/07 · openalex created_date 2020/10/08 · arxiv updated 2020/11/23 · openalex updated_date 2026/08/05

Abstract

Abstract We extend duality between the quantum integrable Gaudin models with boundary and the classical Calogero–Moser systems associated with root systems of classical Lie algebras B N , C N , D N to the case of supersymmetric gl( m | n ) Gaudin models with m + n = 2. Namely, we show that the spectra of quantum Hamiltonians for all such magnets being identified with the classical particles velocities provide the zero level of the classical action variables.

Citations

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