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The Fuzzy Supersphere | Harald Grosse
; Gert Reiter
; | Date: |
21 Apr 1998 | Journal: | Journal of Geometry and Physics 28, 349-383, 1998 | Subject: | Mathematical Physics MSC-class: 17B56; 17B70; 46L87; 58A50; 58B30; 58C50; 81T60 | math-ph math.MP | Abstract: | We introduce the fuzzy supersphere as sequence of finite-dimensional, noncommutative $Z_{2}$-graded algebras tending in a suitable limit to a dense subalgebra of the $Z_{2}$-graded algebra of ${cal H}^{infty}$-functions on the $(2| 2)$-dimensional supersphere. Noncommutative analogues of the body map (to the (fuzzy) sphere) and the super-deRham complex are introduced. In particular we reproduce the equality of the super-deRham cohomology of the supersphere and the ordinary deRham cohomology of its body on the "fuzzy level". | Source: | arXiv, math-ph/9804013 | Services: | Forum | Review | PDF | Favorites |
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