We construct Lax matrices of superoscillator type that are solutions of the RTT-relation for the rational orthosymplectic R-matrix, generalizing orthogonal and symplectic oscillator type Lax matrices previously constructed by the authors in Frassek (Nuclear Phys B, 2020), Frassek and Tsymbaliuk (Commun Math Phys 392 (2):545-619, 2022), Frassek et al. (Commun Math Phys 400 (1):1-82, 2023). We further establish factorisation formulas among the presented solutions.
Orthosymplectic superoscillator Lax matrices / Frassek, Rouven; Tsymbaliuk, Alexander. - In: LETTERS IN MATHEMATICAL PHYSICS. - ISSN 0377-9017. - 114:2(2024), pp. 1-1. [10.1007/s11005-024-01789-w]
Orthosymplectic superoscillator Lax matrices
Frassek, Rouven;
2024
Abstract
We construct Lax matrices of superoscillator type that are solutions of the RTT-relation for the rational orthosymplectic R-matrix, generalizing orthogonal and symplectic oscillator type Lax matrices previously constructed by the authors in Frassek (Nuclear Phys B, 2020), Frassek and Tsymbaliuk (Commun Math Phys 392 (2):545-619, 2022), Frassek et al. (Commun Math Phys 400 (1):1-82, 2023). We further establish factorisation formulas among the presented solutions.
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