Physics – Mathematical Physics
Scientific paper
1998-04-21
Journal of Geometry and Physics 28, 349-383, 1998
Physics
Mathematical Physics
33 pages, LaTeX, some typos corrected
Scientific paper
10.1016/S0393-0440(98)00023-0
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".
Grosse Harald
Reiter Gert
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