Superconformal quantum mechanics and the exterior algebra

Abstract

We extend the differential form representation of N = (n, n) supersymmetric quantum mechanics to the superconformal case. We identify the superalgebras occurring for n = 1, 2, 4, give necessary and sufficient conditions for their existence, and give explicit geometric constructions of their generators and commutation relations. Quantum mechanics on the moduli space of instantons is considered as an example. © 2014 The Author(s).