Non-Abelian fractional supersymmetry in two dimensions

Haji Ahmedov; Ömer F. Dayi

doi:10.1142/S0217732300002097

Non-Abelian fractional supersymmetry in two dimensions

Haji Ahmedov^*, Ömer F. Dayi

^*Corresponding author for this work

Department of Physics Engineering

Bogazici University

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1801-1811
Number of pages	11
Journal	Modern Physics Letters A
Volume	15
Issue number	29
DOIs	https://doi.org/10.1142/S0217732300002097
Publication status	Published - 21 Sept 2000

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title = "Non-Abelian fractional supersymmetry in two dimensions",

abstract = "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.",

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AU - Dayi, Ömer F.

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AB - 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.

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DO - 10.1142/S0217732300002097

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Non-Abelian fractional supersymmetry in two dimensions

Abstract

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