On supermatrix models, Poisson geometry and noncommutative supersymmetric gauge theories

Ctirad Klimcik (1)

1 IML - Institut de mathématiques de Luminy

We construct a new supermatrix model which represents a manifestly supersymmetric noncommutative regularisation of the UOSp(2,1) supersymmetric Schwinger model on the supersphere. Our construction is much simpler than those already existing in the literature and it was found by using Poisson geometry in a substantial way

Mots clés: supersymmetry; Poisson geometry; noncommutative geometry

Domaines: Physique mathématique [math-ph]

Ctirad Klimcik. On supermatrix models, Poisson geometry and noncommutative supersymmetric gauge theories. Journal of Mathematical Physics, 2015, 56, pp.122302. ⟨10.1063/1.4937450⟩. ⟨hal-01246189⟩