https://doi.org/10.1140/epjc/s10052-023-11289-1
Regular Article - Theoretical Physics
All basic quantizations of 
, 
Lorentz supersymmetry
Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, 119991, Moscow, Russian Federation
Received:
3
December
2022
Accepted:
1
February
2023
Published online:
2
March
2023
By the supersymmetrization of a simple algebraic technique proposed in Lukierski and Tolstoy (Eur Phys J C 77:226, 2017) we obtain the complete classification of all basic (nonisomorphic) quantum deformations for the orthosymplectic Lie superalgebra 
and its pseudoreal and real forms in terms of the classical r-matrices. In particular, we prove that pseudoreal compact form has only one quantum deformation (standart q-analog), and the , Lorentz supersymmetry, which is the non-compact real form of , has four different Hopf-algebraic quantum deformations: two standard q-analogs, and two (Jordanian and super-Jordanian) twist deformations. All basic Hopf-algebraic quantum deformations are presented in the explicit form.
© The Author(s) 2023
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