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N = 4 supersymmetry from the quantum affine algebra U{sub q}(A-circumflex{sup (1)}{sub 3})

Technical Report:

Abstract

The quantized algebra U{sub q}(A-circumflex{sup (1)}{sub 3}) is analysed. It is shown that the U{sub q}(A-circumflex{sup (1)}{sub 3}) and N = 4 SUSY algebras have many similarities for special values of q, namely q{sup 2{alpha}} = -1 where {alpha} is a continuous parameter. Moreover, U{sub q}(A-circumflex{sup (1)}{sub 3}) can be endowed with at most three independent spectral parameter Hopf structures. The adjoint action of U{sub q}(A-circumflex{sup (1)}{sub 3}) is given. (author). 10 refs.
Authors:
EL Hassouni, A; [1]  Hassouni, Y; Zakkari, M
  1. Laboratory of Theoretical Physics, Rabat (Morocco). Faculte des Sciences de Rabat
Publication Date:
Jul 01, 1993
Product Type:
Technical Report
Report Number:
IC-93/211
Reference Number:
SCA: 662120; PA: AIX-25:007157; EDB-94:015685; ERA-19:007575; NTS-94:015099; SN: 94001126871
Resource Relation:
Other Information: PBD: Jul 1993
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; SUPERSYMMETRY; ALGEBRA; COMMUTATION RELATIONS; LIE GROUPS; QUANTUM OPERATORS; SYMMETRY GROUPS; 662120; SYMMETRY, CONSERVATION LAWS, CURRENTS AND THEIR PROPERTIES
OSTI ID:
10113725
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE94611145; TRN: XA9335337007157
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
9 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

EL Hassouni, A, Hassouni, Y, and Zakkari, M. N = 4 supersymmetry from the quantum affine algebra U{sub q}(A-circumflex{sup (1)}{sub 3}). IAEA: N. p., 1993. Web.
EL Hassouni, A, Hassouni, Y, & Zakkari, M. N = 4 supersymmetry from the quantum affine algebra U{sub q}(A-circumflex{sup (1)}{sub 3}). IAEA.
EL Hassouni, A, Hassouni, Y, and Zakkari, M. 1993. "N = 4 supersymmetry from the quantum affine algebra U{sub q}(A-circumflex{sup (1)}{sub 3})." IAEA.
@misc{etde_10113725,
title = {N = 4 supersymmetry from the quantum affine algebra U{sub q}(A-circumflex{sup (1)}{sub 3})}
author = {EL Hassouni, A, Hassouni, Y, and Zakkari, M}
abstractNote = {The quantized algebra U{sub q}(A-circumflex{sup (1)}{sub 3}) is analysed. It is shown that the U{sub q}(A-circumflex{sup (1)}{sub 3}) and N = 4 SUSY algebras have many similarities for special values of q, namely q{sup 2{alpha}} = -1 where {alpha} is a continuous parameter. Moreover, U{sub q}(A-circumflex{sup (1)}{sub 3}) can be endowed with at most three independent spectral parameter Hopf structures. The adjoint action of U{sub q}(A-circumflex{sup (1)}{sub 3}) is given. (author). 10 refs.}
place = {IAEA}
year = {1993}
month = {Jul}
}