N =4 ℓ-conformal Galilei superalgebras inspired by D(2, 1; α) supermultiplets

Anton Galajinsky, Sergey Krivonos

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3 Citations (Scopus)

Abstract

N = 4 supersymmetric extensions of the ℓ-conformal Galilei algebra are constructed by properly extending the Lie superalgebra associated with the most general N = 4 superconformal group in one dimension D(2,1;α). If the acceleration generators in the superalgebra form analogues of the irreducible (1, 4, 3)-, (2, 4, 2)-, (3, 4, 1)-, and (4, 4, 0)-supermultiplets of D(2, 1; α), the parameter α turns out to be constrained by Jacobi identities. In contrast, if the tower of the acceleration generators resembles a component decomposition of a generic real superfield, which is a reducible representation of D(2, 1; α), α remains arbitrary. An N = 4 ℓ-conformal Galilei superalgebra recently proposed in [Phys. Lett. B 771 (2017) 401] is shown to be a particular instance of a more general construction in this work.

Original languageEnglish
Article number131
JournalJournal of High Energy Physics
Volume2017
Issue number9
DOIs
Publication statusPublished - 1 Sep 2017

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Keywords

  • Conformal and W Symmetry
  • Extended Supersymmetry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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