Lobachevsky geometry of (super)conformal mechanics
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Publication:653479
DOI10.1016/J.PHYSLETA.2009.01.036zbMATH Open1228.70009arXiv0803.1293OpenAlexW1973094232MaRDI QIDQ653479
Author name not available (Why is that?)
Publication date: 19 December 2011
Published in: (Search for Journal in Brave)
Abstract: We give a simple geometric explanation for the similarity transformation mapping one-dimensional conformal mechanics to free-particle system. Namely, we show that this transformation corresponds to the inversion of the Klein model of Lobachevsky space (non-compact complex projective plane). We also extend this picture to the N=2k superconformal mechanics described in terms of Lobachevsky superspace.
Full work available at URL: https://arxiv.org/abs/0803.1293
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