- 98-283 Grosse H., Reiter G.
- The Fuzzy Supersphere
(111K, LaTeX)
Apr 21, 98
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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
$(2\vert 2)$-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".
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