Автор |
I Benkaddour |
Автор |
E H Saidi |
Дата выпуска |
1999-06-01 |
dc.description |
Using parafermionic field-theoretical methods, the fundamentals of two-dimensional (2D) fractional supersymmetry Q<sup>K</sup> = P are set up. Known difficulties induced by methods based on the U<sub>q</sub>(sl(2)) quantum group representations and non-commutative geometry are avoided in the parafermionic approach. Moreover, we find that fractional supersymmetric algebras are naturally realized as matrix models. The K = 3 case is studied in detail. Links between 2D ((1/3),0) and (((1/3))<sup>2</sup>,0) fractional supersymmetries and N = 2 U(1) and N = 4 su(2) standard supersymmetries, respectively, are exhibited. Field-theoretical models describing the self-couplings of the matter multiplets (0<sup>2</sup>,((1/3))<sup>2</sup>,((2/3))<sup>2</sup>) and (0<sup>4</sup>,((1/3))<sup>4</sup>,((2/3))<sup>4</sup>) are given. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Fractional supersymmetry as a matrix model |
Тип |
paper |
DOI |
10.1088/0264-9381/16/6/313 |
Electronic ISSN |
1361-6382 |
Print ISSN |
0264-9381 |
Журнал |
Classical and Quantum Gravity |
Том |
16 |
Первая страница |
1793 |
Последняя страница |
1804 |
Аффилиация |
I Benkaddour; UFR Physique des Hautes Energies, Faculté des Sciences, Rabat, BP 1014 Av. Ibn Battota, Rabat, Kingdom of Morocco |
Аффилиация |
E H Saidi; UFR Physique des Hautes Energies, Faculté des Sciences, Rabat, BP 1014 Av. Ibn Battota, Rabat, Kingdom of Morocco |
Выпуск |
6 |