Séminaire de Physique Théorique

N=2 and N=4 supersymmetric Landau models
Evgeny Ivanov (JINR, Dubna, Russia & Nantes)
Thursday 26 April 2012 14:00 -  Tours -  Salle 1180 (Bât E2)

Résumé :
We report on a new type of superextended Landau-type models which possess both the target and the worldline supersymmetries. The model with the target ISU(1|1) symmetry reveals a hidden N = 2 worldline supersymmetry and involves, as its bosonic sector, the renowned planar 2D Landau model. It can be extended to have N = 4 worldline supersymmetry and the target ISU(2|2) symmetry, with the 4D model of Elvang and Polchinski in the bosonic sector. This N = 4 model also reveals another (on-shell) N = 4 supersymmetry, which, together with the manifest one, close on world-line SU(2|2) supersymmetry. The characteristic feature of the relevant supersymmetric quantum mechanics in both cases is the presence of quantum states with negative norms, which, however, can be made positive-definite after introducing the appropriate "metric" operator in the corresponding Hilbert spaces, and so redefining the inner product.

Liens :