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arXiv · 1205.3869

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

Neil B. Copland·Sung Moon Ko·Jeong-Hyuck Park
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Abstract

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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Neil B. Copland, Sung Moon Ko, Jeong-Hyuck Park. 2012-07-06. Superconformal Yang-Mills quantum mechanics and Calogero model with OSp(N|2,R) symmetry. https://doi.org/10.1007/jhep07(2012)076

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