English

Superconformal quantum mechanics and the exterior algebra

High Energy Physics - Theory 2014-09-12 v2 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1403.4933,
  title  = {Superconformal quantum mechanics and the exterior algebra},
  author = {Andrew Singleton},
  journal= {arXiv preprint arXiv:1403.4933},
  year   = {2014}
}

Comments

15 pages, 1 figure