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

TL;DR

This paper explores superconformal Yang-Mills quantum mechanics in two dimensions, highlighting its symmetry group OSp(N|2,R), its relation to AdS_2 imes S^{N-1}, and its reduction to a supersymmetric Calogero model.

Contribution

It introduces a superconformal Yang-Mills quantum mechanics with OSp(N|2,R) symmetry and connects it to AdS_2 imes S^{N-1} and supersymmetric Calogero models.

Findings

Superconformal Yang-Mills quantum mechanics exhibits OSp(N|2,R) symmetry.

Dimensional reduction doubles supersymmetries, including conformal supercharges.

Connection established between quantum mechanics and supersymmetric Calogero models.

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.