Supersymmetric Calogero models by gauging

2008/12/31 by Sergey Fedoruk, Evgeny Ivanov, Olaf Lechtenfeld · 4 citations
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1103/physrevd.79.105015

published as Phys.Rev.D79:105015,2009 · 5 pages; v2: minor clarifications, refs. added, version published in PRD

arxiv created 2009/04/22 · arxiv updated 2009/12/01

Abstract

New superconformal extensions of d=1 Calogero-type systems are obtained by gauging the U(n) isometry of matrix superfield models. We consider the cases of N=1, N=2 and N=4 one-dimensional supersymmetries. The bosonic core of the N=1 and N=2 models is the standard conformal A_n-1 Calogero system, whereas the N=4 model is an extension of the U(2)-spin Calogero system.

Cited by

• OSp(4|2) Superconformal Mechanics
• New D(2, 1; α) mechanics with spin variables
• Superconformal Calogero models as a gauged matrix mechanics
• SU(2) reduction in N=4 supersymmetric mechanics

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