Non-relativistic ten-dimensional minimal supergravity

E. A. Bergshoeff, J. Lahnsteiner*, L. Romano, J. Rosseel, C. Şimşek

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

35 Citations (Scopus)
104 Downloads (Pure)

Abstract

We construct a non-relativistic limit of ten-dimensional N = 1 supergravity from the point of view of the symmetries, the action, and the equations of motion. This limit can only be realized in a supersymmetric way provided we impose by hand a set of geometric constraints, invariant under all the symmetries of the non-relativistic theory, that define a so-called ‘self-dual’ Dilatation-invariant String Newton-Cartan geometry. The non-relativistic action exhibits three emerging symmetries: one local scale symmetry and two local conformal supersymmetries. Due to these emerging symmetries the Poisson equation for the Newton potential and two partner fermionic equations do not follow from a variation of the non-relativistic action but, instead, are obtained by a supersymmetry variation of the other equations of motion that do follow from a variation of the non-relativistic action. We shortly discuss the inclusion of the Yang-Mills sector that would lead to a non-relativistic heterotic supergravity action.

Original languageEnglish
Article number123
Number of pages48
JournalJournal of High Energy Physics
Volume2021
Issue number12
DOIs
Publication statusPublished - Dec-2021

Keywords

  • Classical Theories of Gravity
  • Supergravity Models
  • Superstrings and Heterotic Strings

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