Non-Abelian fractional supersymmetry in two dimensions


Ahmedov H., Dayi O.

MODERN PHYSICS LETTERS A, cilt.15, ss.1801-1811, 2000 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 15 Konu: 29
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1142/s0217732300002097
  • Dergi Adı: MODERN PHYSICS LETTERS A
  • Sayfa Sayıları: ss.1801-1811

Özet

Non-Abelian fractional supersymmetry algebra in two dimensions is introduced utilizing U-q (sl(2,R)) at roots of unity. Its representations and the matrix elements are obtained. The dual of it is constructed and the corepresentations are studied. Moreover, a differential realization of the non-Abelian fractional supersymmetry generators is given in the generalized superspace defined by two commuting and two generalized Grassmann variables. An invariant action under the fractional supersymmetry transformations is given.