OSp(4|2) Superconformal Mechanics
May, 200920 pages
Published in:
- JHEP 08 (2009) 081
e-Print:
- 0905.4951 [hep-th]
Report number:
- ITP-UH-08-09
View in:
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Abstract: (arXiv)
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.Note:
- 1+20 pages
- 04.70.Bw
- 11.30.Pb
- 03.65.-w
- 04.60.Ds
- Superconformal symmetry
- black holes
- superfields
- mechanics: conformal
- algebra: conformal
- sphere: fuzzy
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