Superanalysis on quantum spaces

Abstract

Attention is focused on antisymmetrised versions of quantum spaces that are of particular importance in physics, i.e. Manin plane, q-deformed Euclidean space in three or four dimensions as well as q-deformed Minkowski space. For each of these quantum spaces we provide q-analogs for elements of superanalysis, i.e. Grassmann integrals, Grassmann exponentials, Grassmann translations and braided products with supernumbers.

Latex, 42 pages, more detailed introduction, section about basic concepts of superanalysis included, several modifications to improve clarity, typos corrected

References in corpus (1)

• q-Integration on Quantum Spaces

Cited by in corpus (2)

• Supersymmetric Nambu$-$Jona-Lasinio Model on $\mathcal{N}=1/2$ four-dimensional Non(anti)commutative Superspace
• q-Deformed Superalgebras