2009/05/31 by Sergey Fedoruk, Evgeny Ivanov, Olaf Lechtenfeld · 2 citations
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/08/081
published as JHEP 0908:081,2009 · 1+20 pages, v2: typos fixed, for publication in JHEP
arxiv created 2009/08/19 · arxiv updated 2009/12/01
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.