Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 53, Issue 49, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/abbf07
Keywords
supersymmetric Gaudin models; quantum-classical duality; integrable systems
Categories
Funding
- RFBR [18-01-00926, 18-01-00461]
- HSE University Basic Research Program
- Russian Academic Excellence Project '5-100'
- Young Russian Mathematics award
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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.
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