Newton-Cartan supergravity with torsion and Schrodinger supergravity

Eric Bergshoeff*, Jan Rosseel, Thomas Zojer

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

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Abstract

We derive a torsionfull version of three-dimensional N - 2 Newton-Cartan supergravity using a non-relativistic notion of the superconformal tensor calculus. The "superconformal" theory that we start with is Schrodinger supergravity which we obtain by gauging the Schrodinger superalgebra. We present two non-relativistic N = 2 matter multiplets that can be used as compensators in the superconformal calculus. They lead to two different off -shell formulations which, in analogy with the relativistic case, we call "old minimal" and "new minimal" Newton-Cartan supergravity. We find similarities but also point out some differences with respect to the relativistic case.

Original languageEnglish
Article number180
Number of pages31
JournalJournal of High Energy Physics
Issue number11
DOIs
Publication statusPublished - 25-Nov-2015

Keywords

  • Gauge Symmetry
  • Supergravity Models
  • Holography and condensed matter physics (AdS/CMT)
  • Classical Theories of Gravity

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