On the q-Deformed N = 2 SUSY Algebra
نویسندگان
چکیده
منابع مشابه
q-Deformed Superconformal Algebra on Quantum Superspace
A quantum deformation of 4-dimensional superconformal algebra realized on quantum superspace is investigated. We study the differential calculus and the action of the quantum generators corresponding to slq(1|4) which act on the quantum superspace. We derive deformed su(1|2, 2) algebras from the deformed sl(1|4) algebra. Through a contraction procedure we obtain a deformed super-Poincaré algebr...
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An algebra homomorphism ψ from the q-deformed algebra U q (iso 2) with generating elements I, T 1 , T 2 and defining relations [I, T 2 ] q = T 1 , [T 1 , I] q = T 2 , [T 2 , T 1 ] q = 0 (where [A, B] q = q 1/2 AB − q −1/2 BA) to the extensionˆU q (m 2) of the Hopf algebra U q (m 2) is constructed. The algebra U q (iso 2) at q = 1 leads to the Lie algebra iso 2 ∼ m 2 of the group ISO(2) of motio...
متن کاملA Schwinger term in q - deformed su ( 2 ) algebra ∗
An extra term generally appears in the q-deformed su(2) algebra for the deformation parameter q = exp 2πiθ, if one combines the Biedenharn-Macfarlane construction of q-deformed su(2), which is a generalization of Schwinger’s construction of conventional su(2), with the representation of the q-deformed oscillator algebra which is manifestly free of negative norm. This extra term introduced by th...
متن کامل1 REPRESENTATIONS OF THE q-DEFORMED ALGEBRA U ′ q (so4)
We study the nonstandard q-deformation U ′ q (so 4) of the universal enveloping algebra U (so 4) obtained by deforming the defining relations for skew-symmetric generators of U (so 4). This algebra is used in quantum gravity and algebraic topology. We construct a homomor-phism φ of U ′ q (so 4) to the certain nontrivial extension of the Drinfeld–Jimbo quantum algebra U q (sl 2) ⊗2 and show that...
متن کاملCLASSIFICATION THEOREM ON IRREDUCIBLE REPRESENTATIONS OF THE q-DEFORMED ALGEBRA
The aim of this paper is to give a complete classification of irreducible finite-dimensional representations of the nonstandard q-deformation U ′ q(son) (which does not coincide with the Drinfel’d-Jimbo quantum algebra Uq(son)) of the universal enveloping algebra U(son(C)) of the Lie algebra son(C) when q is not a root of unity. These representations are exhausted by irreducible representations...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1995
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.94.649