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Conformal and superconformal mechanics

2000/02/01 by G. Papadopoulos, G Papadopoulos
Physics and Astronomy · #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #hep-th

paper · pdf · doi:10.1088/0264-9381/17/18/310

published as Class.Quant.Grav.17:3715-3742,2000 · 46 pages, Phyzzx.tex

arxiv created 2000/02/01 · openalex publication_date 2000/09/05 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We investigate the conformal and superconformal properties of a non-relativistic spinning particle propagating in a curved background coupled to a magnetic field and with a scalar potential. We derive the conditions on the couplings for a large class of such systems which are necessary in order for their actions to admit conformal and superconformal symmetry. We find that some of these conditions can be encoded in the conformal and holomorphic geometry of the background. Several new examples of conformal and superconformal models are also given.

Citations