Supersymmetric gauge theories in quantum mechanics

V. Rittenberg, S. Yankielowicz

Research output: Contribution to journalArticlepeer-review


A general construction for supersymmetric U(1) gauge invariant Hamiltonians in quantum mechanics is given. For a given number of fermionic and bosonic degrees of freedom it is shown that for four supercharges the interactions are determined uniquely, and coincide with the dimensionally reduced N = 1, d = 3 + 1 supersymmetric electrodynamics. With two supercharges one gets models which cannot be obtained through dimensional reduction. For two special choices of a parameter one recovers the dimensionally reduced d = 1 + 1 Weyl supersymmetric and Majorana supersymmetric electrodynamics.

Original languageEnglish
Pages (from-to)273-302
Number of pages30
JournalAnnals of Physics
Issue number2
StatePublished - Jul 1985


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