Two-dimensional fractional supersymmetry from the quantum Poincaré group at roots of unity

Hadji Ahmedov; Ömer F. Dayi

doi:10.1088/0305-4470/32/35/303

Two-dimensional fractional supersymmetry from the quantum Poincaré group at roots of unity

Hadji Ahmedov^*, Ömer F. Dayi

^*Corresponding author for this work

Department of Physics Engineering

Bogazici University

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

13 Citations (Scopus)

Abstract

A group theoretical understanding of the two-dimensional fractional supersymmetry is given in terms of the quantum Poincaré group at roots of unity. The fractional supersymmetry algebra and the quantum group dual to it are presented and the pseudo-unitary and irreducible representations of them are obtained. The matrix elements of these representations are explicitly constructed.

Original language	English
Pages (from-to)	6247-6253
Number of pages	7
Journal	Journal of Physics A: Mathematical and General
Volume	32
Issue number	35
DOIs	https://doi.org/10.1088/0305-4470/32/35/303
Publication status	Published - 3 Sept 1999

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title = "Two-dimensional fractional supersymmetry from the quantum Poincar{\'e} group at roots of unity",

abstract = "A group theoretical understanding of the two-dimensional fractional supersymmetry is given in terms of the quantum Poincar{\'e} group at roots of unity. The fractional supersymmetry algebra and the quantum group dual to it are presented and the pseudo-unitary and irreducible representations of them are obtained. The matrix elements of these representations are explicitly constructed.",

author = "Hadji Ahmedov and Dayi, {{\"O}mer F.}",

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AU - Dayi, Ömer F.

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N2 - A group theoretical understanding of the two-dimensional fractional supersymmetry is given in terms of the quantum Poincaré group at roots of unity. The fractional supersymmetry algebra and the quantum group dual to it are presented and the pseudo-unitary and irreducible representations of them are obtained. The matrix elements of these representations are explicitly constructed.

AB - A group theoretical understanding of the two-dimensional fractional supersymmetry is given in terms of the quantum Poincaré group at roots of unity. The fractional supersymmetry algebra and the quantum group dual to it are presented and the pseudo-unitary and irreducible representations of them are obtained. The matrix elements of these representations are explicitly constructed.

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JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 35

ER -

Two-dimensional fractional supersymmetry from the quantum Poincaré group at roots of unity

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