Superconformal Yang-Mills quantum mechanics and Calogero model with OSp(N|2,R) symmetry
In spacetime dimension two, pure Yang-Mills possesses no physical degrees of freedom, and consequently it admits a supersymmetric extension to couple to an arbitrary number, N say, of Majorana-Weyl gauginos. This results in (N,0) super Yang-Mills. Further, its dimensional reduction to mechanics doub...
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| description | In spacetime dimension two, pure Yang-Mills possesses no physical degrees of freedom, and consequently it admits a supersymmetric extension to couple to an arbitrary number, N say, of Majorana-Weyl gauginos. This results in (N,0) super Yang-Mills. Further, its dimensional reduction to mechanics doubles the number of supersymmetries, from N to N+N, to include conformal supercharges, and leads to a superconformal Yang-Mills quantum mechanics with symmetry group OSp(N|2,R). We comment on its connection to AdS_2 \times S^{N-1} and reduction to a supersymmetric Calogero model. |
| doi_str_mv | 10.48550/arxiv.1205.3869 |
| format | Article |
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| source | Freely Accessible Journals; arXiv.org |
| subjects | Physics - High Energy Physics - Theory Quantum mechanics Quantum physics Quantum theory Reduction Supersymmetry Symmetry |
| title | Superconformal Yang-Mills quantum mechanics and Calogero model with OSp(N|2,R) symmetry |
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