Supersymmetric Galilean Electrodynamics

Stefano Baiguera, Lorenzo Cederle, Silvia Penati

Research output: Contribution to journalArticlepeer-review

Abstract

In 2+1 dimensions, we propose a renormalizable non-linear sigma model action which describes the N = 2 supersymmetric generalization of Galilean Electrodynamics. We first start with the simplest model obtained by null reduction of the relativistic Abelian N = 1 supersymmetric QED in 3+1 dimensions and study its renormalization properties directly in non-relativistic superspace. Despite the existence of a non-renormalization theorem induced by the causal structure of the non-relativistic dynamics, we find that the theory is non-renormalizable. Infinite dimensionless, supersymmetric and gauge-invariant terms, which combine into an analytic function, are generated at quantum level. Renormalizability is then restored by generalizing the theory to a non-linear sigma model where the usual minimal coupling between gauge and matter is complemented by infinitely many marginal couplings driven by a dimensionless gauge scalar and its fermionic superpartner. Superconformal invariance is preserved in correspondence of a non-trivial conformal manifold of fixed points where the theory is gauge-invariant and interacting.

Original languageEnglish
Article number237
JournalJournal of High Energy Physics
Volume2022
Issue number9
DOIs
StatePublished - 1 Sep 2022

Keywords

  • Extended Supersymmetry
  • Field Theories in Lower Dimensions
  • Renormalization and Regularization
  • Supersymmetric Gauge Theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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