Deformation Quantization for Heisenberg Supergroup

Details Deformation Quantization for Heisenberg Supergroup Deformation Quantization for Heisenberg Supergroup

2010-11-10

arxiv.org/abs/1011.2370v1

Mathematics

Quantum Algebra

46 pages

Scientific paper

We construct a non-formal deformation quantization of the Heisenberg supergroup. The deformed star product provides a Universal Deformation Formula, namely it deforms the algebras on which the Heisenberg supergroup is acting. In this perspective, we need to introduce the notion of C*-superalgebra, compatible with the deformation, and which can be seen as corresponding to noncommutative superspaces. We also apply this construction to interpret the renormalizability of a noncommutative Quantum Field Theory.

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