Noncommutative Supergeometry and Quantum Field Theory

Marcillaud de Goursac, Axel
(2014) Workshop “Quantum physics and non-commutative geometry”, Trimester Program “Non-commutative Geometry and its Applications” — Location: Hausdorff Institute, Bonn, Germany (22.September.2014)

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  • Marcillaud de Goursac, AxelUCLouvain
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Abstract
In this conference, we present the philosophy and the basic concepts of Noncommutative Supergeometry, i.e. Hilbert superspaces, C*-superalgebras and quantum supergroups. Then, we give examples of these structures coming from deformation quantization and we expose an application to renormalizable quantum field theory on the Moyal space.
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Marcillaud de Goursac, A. (2014). Noncommutative Supergeometry and Quantum Field Theory. Workshop “Quantum physics and non-commutative geometry”, Trimester Program “Non-commutative Geometry and its Applications”, Hausdorff Institute, Bonn, Germany. https://hdl.handle.net/2078.5/196176