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- Title
Generalized Berezin-Toeplitz quantization of Kähler supermanifolds.
- Authors
Iuliu-Lazaroiu, Calin; McNamee, Daniel; Sämann, Christian
- 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.
- Publication
Journal of High Energy Physics, 2009, Vol 2009, Issue 5, p055
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1088/1126-6708/2009/05/055