Open AccessSupersymmetric Calogero and Calogero-Sutherland models from gauging
Author(s) -
Evgeny Ivanov
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1416/1/012015
Subject(s) - symmetry (geometry) , superfield , supersymmetry , mathematical physics , spin (aerodynamics) , physics , algebra over a field , mathematics , pure mathematics , geometry , thermodynamics
We describe how the new kinds of N = 2 and N = 4 supersymmetric extensions of the rational and hyperbolic Calogero models can be derived by gauging U ( n ) symmetry of the appropriate superfield matrix models. These systems feature non-standard numbers N n 2 of physical fermionic variables as compared with N n in the standard case. An essential ingredient of N = 4 models is the necessary presence of semi-dynamical spin variables described by d = 1 Wess-Zumino terms. The bosonic cores of N = 4 models are U (2) spin Calogero and Calogero-Sutherland models. In the hyperbolic case two non-equivalent N = 4 extensions exist, with and without the interacting center-of-mass coordinate in the bosonic sector. The talk is based on joint works with Sergey Fedoruk and Olaf Lechtenfeld.