Fractional supersymmetry and Fth-roots of representations

DOI10.1063/1.533362zbMath0973.17038arXivhep-th/9904126OpenAlexW2052029564MaRDI QIDQ2738062

Michel Rausch de Traubenberg, M. J. Slupinski

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9904126

zbMATH Keywords

generalized super-Lie algebras

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Graded Lie (super)algebras (17B70)

Related Items (13)

About Filiform Lie Algebras of Order 3 ⋮ On the structure of graded Lie algebras of order 3 ⋮ Fractional supersymmetry and hierarchy of shape invariant potentials ⋮ HIGHER-ORDER EXTENSIONS OF THE POINCARÉ ALGEBRA ⋮ Fractional supersymmetric quantum mechanics as a set of replicas of ordinary supersymmetric quantum mechanics ⋮ Classification of filiform Lie algebras of order 3 ⋮ Infinitesimal deformations of filiform Lie algebras of order 3 ⋮ Split Lie algebras of order 3 ⋮ Poincaré and sl(2) algebras of order 3 ⋮ Filiform Lie algebras of order 3 ⋮ FIELD THEORETIC REALIZATIONS FOR CUBIC SUPERSYMMETRY ⋮ Hopf algebras for ternary algebras ⋮ Fractional supersymmetry and infinite dimensional Lie algebras

Cites Work

• Algèbres de Clifford et algèbres exterieures
• 2D fractional supersymmetry and conformal field theory for alternative statistics
• FRACTIONAL SUPERSPACE FORMULATION OF GENERALIZED SUPER-VIRASORO ALGEBRAS
• LOCAL FRACTIONAL SUPERSYMMETRY FOR ALTERNATIVE STATISTICS
• Linearization of polynomials
• On a q-deformation of the supersymmetric Witten model
• (I,q)-graded Lie algebraic extensions of the Poincaré algebra, constraints on I and q
• Group theoretical foundations of fractional supersymmetry
• All Possible Symmetries of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>Matrix

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