Résumé : By using Kirillov's orbits method and Weyl-type quantization on the Heisenberg supergroup, we construct a non-formal deformation quantization of superspaces. We are led by the theory to introduce new notions such as Hilbert superspaces and C*-superalgebras. Then, a noncommutative superspace coming from this deformation yields an interpretation of the renormalizable quantum field theory with harmonic term on the Moyal space.
Dernière modification : Monday 27 May 2024 | Contact pour cette page : Cyril.Banderier at lipn.univ-paris13.fr |