q-Deformed Superalgebras

Abstract

The article deals with q-analogs of the three- and four-dimensional Euclidean superalgebra and the Poincare superalgebra.

38 pages, LateX, no figures, corrected typos

References in corpus (25)

• The quantum structure of spacetime at the Planck scale and quantum fields
• On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
• Braided Momentum Structure of the q-Poincare Group
• Supersymmetry in noncommutative superspaces
• Construction of $\theta$-Poincaré Algebras and their Invariants on ${\mathcal{M}}_{\theta }$
• Quantum and Braided Lie Algebras
• Differential Calculus on Iso_q (N), Quantum Poincare' Algebra and q - Gravity
• Bicovariant Quantum Algebras and Quantum Lie Algebras
• Braided Quantum Field Theory
• q-deformed Phase Space and its Lattice Structure
• The classical basis for $\kappa$-deformed Poincaré (super)algebra and the second $\kappa$-deformed supersymmetric Casimir
• q-Integration on Quantum Spaces
• Quantum Deformation of the Poincare Supergroup and $\kappa$-deformed Superspace
• q-Deformed quantum Lie algebras
• Seiberg-Witten Map for Superfields on Canonically Deformed N=1, d=4 Superspace
• *-Products on Quantum Spaces
• Operator Representations on Quantum Spaces
• Analysis on q-deformed quantum spaces
• q-Exponentials on quantum spaces
• Spin Representations of the q-Poincare Algebra
• $\kappa$-Deformation of Poincaré Superalgebra with Classical Lorentz Subalgebra and its Graded Bicrossproduct Structure
• Superanalysis on quantum spaces
• q-deformed superconformal algebra on quantum superspace
• Grassmann variables on quantum spaces
• Spinor calculus for q-deformed quantum spaces II