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arxiv: 1205.3869 · v2 · pith:A2NZJBQHnew · submitted 2012-05-17 · ✦ hep-th

Superconformal Yang-Mills quantum mechanics and Calogero model with OSp(N|2,R) symmetry

classification ✦ hep-th
keywords yang-millsmechanicscalogeromodelnumberquantumreductionsuperconformal
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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.

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