Abstract
We present a general theory of non-perturbative quantization of a class of hermitian symmetric supermanifolds. The quantization scheme is based on the notion of a super Toeplitz operator on a suitable Z2-graded Hilbert spaces of super-holomorphic functions. The quantized supermanifold arises as the C*-algebra generated by all such operators. We prove that our quantization framework reproduces the invariant super Poisson structure on the classical supermanifold as Planck′s constant tends to zero.
Lingua originale | Inglese |
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pagine (da-a) | 456-510 |
Numero di pagine | 55 |
Rivista | Journal of Functional Analysis |
Volume | 127 |
Numero di pubblicazione | 2 |
DOI | |
Stato di pubblicazione | Pubblicato - 1 feb 1995 |
Pubblicato esternamente | Sì |