Supersymmetric Calogero models from superfield gauging

Abstract

Using the superfield gauging procedure, we construct new $\mathcal{N}=2$ and $\mathcal{N}=4$ superfield systems that generalize Calogero models. In the bosonic limit, these systems yield rational Calogero models and hyperbolic Calogero-Sutherland models in the $\mathcal{N}=2$ case, and their $\mathrm{U}(2)$ spin generalization in the $\mathcal{N}=4$ case.

8 pages, Talk given by E. Ivanov at International Bogolyubov Conference "Problems of Theoretical and Mathematical Physics". September 9-13, 2019; Moscow-Dubna, Russia

References in corpus (10)

• Physics and Mathematics of Calogero particles
• Supersymmetric Calogero models by gauging
• $\mathcal{N}$-extended supersymmetric Calogero models
• Supersymmetric hyperbolic Calogero-Sutherland models by gauging
• Quantum SU(2$|$1) supersymmetric Calogero-Moser spinning systems
• SU(2|2) supersymmetric mechanics
• Supersymmetric many-body Euler-Calogero-Moser model
• Extended supersymmetric Calogero model
• Deformed $\mathcal{N}=8$ mechanics of $(8,8,0)$ multiplets
• $\mathcal{N}=4$ supersymmetric Calogero-Sutherland models