Supersymmetry and Fredholm modules over quantized spaces
High Energy Physics - Theory
2010-11-01 v1
Abstract
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.
Cite
@article{arxiv.hep-th/9406051,
title = {Supersymmetry and Fredholm modules over quantized spaces},
author = {D. Borthwick and S. Klimek and A. Lesniewski and M. Rinaldi},
journal= {arXiv preprint arXiv:hep-th/9406051},
year = {2010}
}
Comments
24p