Superanalysis on quantum spaces
High Energy Physics - Theory
2009-11-10 v2
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.
Cite
@article{arxiv.hep-th/0411180,
title = {Superanalysis on quantum spaces},
author = {Alexander Schmidt and Hartmut Wachter},
journal= {arXiv preprint arXiv:hep-th/0411180},
year = {2009}
}
Comments
Latex, 42 pages, more detailed introduction, section about basic concepts of superanalysis included, several modifications to improve clarity, typos corrected