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arXiv · 0905.4951

OSp(4|2) Superconformal Mechanics

Sergey Fedoruk·Evgeny Ivanov·Olaf Lechtenfeld
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Abstract

A new superconformal mechanics with OSp(4|2) symmetry is obtained by gauging the U(1) isometry of a superfield model. It is the one-particle case of the new N=4 super Calogero model recently proposed in arXiv:0812.4276 [hep-th]. Classical and quantum generators of the osp(4|2) superalgebra are constructed on physical states. As opposed to other realizations of N=4 superconformal algebras, all supertranslation generators are linear in the odd variables, similarly to the N=2 case. The bosonic sector of the component action is standard one-particle (dilatonic) conformal mechanics accompanied by an SU(2)/U(1) Wess-Zumino term, which gives rise to a fuzzy sphere upon quantization. The strength of the conformal potential is quantized.

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Sergey Fedoruk, Evgeny Ivanov, Olaf Lechtenfeld. 2009-08-19. OSp(4|2) Superconformal Mechanics. https://doi.org/10.1088/1126-6708/2009/08/081

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