Superanalysis on quantum spaces | Zendy

Alexander Schmidt | Zendy; Hartmut Wachter | Zendy

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Superanalysis on quantum spaces

Author(s) -

Alexander Schmidt,

Hartmut Wachter

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/01/084

Subject(s) - minkowski space , quantum , pure mathematics , space (punctuation) , euclidean geometry , mathematics , euclidean space , plane (geometry) , algebra over a field , theoretical physics , mathematical physics , physics , quantum mechanics , geometry , computer science , operating system

Attention is focused on antisymmetrised versions of quantum spaces that areof particular importance in physics, i.e. Manin plane, q-deformed Euclideanspace in three or four dimensions as well as q-deformed Minkowski space. Foreach of these quantum spaces we provide q-analogs for elements ofsuperanalysis, i.e. Grassmann integrals, Grassmann exponentials, Grassmanntranslations and braided products with supernumbers.Comment: Latex, 42 pages, more detailed introduction, section about basic concepts of superanalysis included, several modifications to improve clarity, typos correcte

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