## The geometry and representation theory of superconformal quantum mechanics

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## Abstract

We study aspects of the quantum mechanics of nonlinear

In the (2,0) case we carry out a detailed study of the representation theory of the light-cone superalgebra

In the SUSY Yang-Mills case the target space is the Coulomb branch of an elliptic quiver gauge theory, and as such is a scale-invariant special Kähler manifold. We describe a new type of