Supersymmetry and Fredholm modules over quantized spaces

Details Supersymmetry and Fredholm modules over quantized spaces Supersymmetry and Fredholm modules over quantized spaces

1994-06-09

arxiv.org/abs/hep-th/9406051v1

Commun.Math.Phys.166:397-416,1994

Physics

High Energy Physics

High Energy Physics - Theory

24p

Scientific paper

10.1007/BF02112322

The purpose of this paper is to apply the framework of non- commutative differential geometry to quantum deformations of a class of Kahler manifolds. For the examples of the Cartan domains of type I and flat space, we construct Fredholm modules over the quantized manifolds using the supercharges which arise in the quantization of supersymmetric generalizations of the manifolds. We compute the explicit formula for the Chern character on generators of the Toeplitz C^* -algebra.

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