Non-formal deformation quantization of Heisenberg Supergroup's Actions
(2010) FNRS contact group in Differential Geometry — Location: ULB, Brussels (13.December.2010)
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- Abstract
- We construct a non-formal deformation machinery for the actions of the Heisenberg supergroup analogue to the one developed by M. Rieffel for the actions of Rd . However, the method used here differs from Rieffel’s one: we obtain a Universal Deformation Formula for the actions of Rm|n as a byproduct of Weyl ordered Kirillov’s orbit method adapted to the graded setting. To do so, we have to introduce the notion of C∗-superalgebra, which is compatible with the deformation, and which can be seen as corresponding to noncommutative superspaces. We also use this construction to interpret the renormalizability of a noncommutative quantum field theory.
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Marcillaud de Goursac, A. (2010). Non-formal deformation quantization of Heisenberg Supergroup’s Actions. FNRS contact group in Differential Geometry, ULB, Brussels. https://hdl.handle.net/2078.5/49306