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All basic quantizations of D = 3, N = 1 Lorentz supersymmetryстатья
Статья опубликована в высокорейтинговом журнале
Статья опубликована в журнале из списка Web of Science и/или Scopus- Автор: Tolstoy V.N.
- Журнал: European Physical Journal C
- Том: 83
- Номер: 3
- Год издания: 2023
- Издательство: Springer Verlag
- Местоположение издательства: Germany
- Первая страница: 1
- Последняя страница: 17
- Номер статьи: 188
- DOI: 10.1140/epjc/s10052-023-11289-1
- Аннотация: 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 theorthosymplectic Lie superalgebra osp(1|2;C) 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 D = 3, N = 1 Lorentz supersymmetry, which is the noncompact real form of osp(1|2;C), has four different Hopfalgebraicquantum 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.
- Добавил в систему: Толстой Валерий Николаевич