N=3 super–Schwarzian from OSp(3|2) invariants

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Abstract

It was recently demonstrated that the N=0,1,2,4 super–Schwarzian derivatives can be constructed by applying the method of nonlinear realizations to the finite–dimensional (super)conformal groups SL(2,R), OSp(1|2), SU(1,1|1), and SU(1,1|2), respectively. In this work, a similar scheme is realised for OSp(3|2). It is shown that the N=3 case exhibits a surprisingly richer structure of invariants, the N=3 super–Schwarzian being a particular member. We suggest that the extra invariants may prove useful in building an N=3 supersymmetric extension of the Sachdev–Ye–Kitaev model.

Original languageEnglish
Article number135885
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume811
DOIs
Publication statusPublished - 10 Dec 2020

Keywords

  • Superconformal algebra
  • Super–Schwarzian derivative
  • The method of nonlinear realizations

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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