Generalized Berezin-Toeplitz quantization of Kaehler supermanifolds
High Energy Physics - Theory
2009-05-22 v2
Abstract
We extend the construction of generalized Berezin and Berezin-Toeplitz quantization to the case of compact Hodge supermanifolds. Our approach is based on certain super-analogues of Rawnsley's coherent states. As applications, we discuss the quantization of affine and projective superspaces. Furthermore, we propose a definition of supersymmetric sigma-models on quantized Hodge supermanifolds. The corresponding quantum field theories are finite and thus yield supersymmetry-preserving regularizations for QFTs defined on flat superspace.
Cite
@article{arxiv.0811.4743,
title = {Generalized Berezin-Toeplitz quantization of Kaehler supermanifolds},
author = {Calin Iuliu Lazaroiu and Daniel McNamee and Christian Saemann},
journal= {arXiv preprint arXiv:0811.4743},
year = {2009}
}
Comments
1+51 pages, references added, version published in JHEP