Journal of High Energy Physics

, 2019:266 | Cite as

A worldsheet supersymmetric Newton-Cartan string

  • Chris D.A. BlairEmail author
Open Access


We construct a (locally) supersymmetric worldsheet action for a string in a non-relativistic Newton-Cartan background. We do this using a doubled string action, which describes the target space geometry in an O(D, D) covariant manner using a doubled metric and doubled vielbeins. By adopting different parametrisations of these doubled background fields, we can describe both relativistic and non-relativistic geometries. We focus on the torsional Newton-Cartan geometry which can be obtained by null duality/reduction (such null duality is particularly simple for us to implement). The doubled action we use gives the Hamiltonian form of the supersymmetric Newton-Cartan string action automatically, from which we then obtain the equivalent Lagrangian. We extract geometric quantities of interest from the worldsheet couplings and write down the supersymmetry transformations. Our general results should apply to other non-relativistic backgrounds. We comment on the usefulness of the doubled approach as a tool for studying non-relativistic string theory.


String Duality Superstrings and Heterotic Strings 


Open Access

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.Theoretische NatuurkundeVrije Universiteit Brussel, and the International Solvay InstitutesBrusselsBelgium

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