Journal of High Energy Physics

, 2019:71 | Cite as

Relating non-relativistic string theories

  • Troels Harmark
  • Jelle Hartong
  • Lorenzo Menculini
  • Niels A. Obers
  • Gerben OlingEmail author
Open Access
Regular Article - Theoretical Physics


Non-relativistic string theories promise to provide simpler theories of quantum gravity as well as tractable limits of the AdS/CFT correspondence. However, several apparently distinct non-relativistic string theories have been constructed. In particular, one approach is to reduce a relativistic string along a null isometry in target space. Another method is to perform an appropriate large speed of light expansion of a relativistic string. Both of the resulting non-relativistic string theories only have a well-defined spectrum if they have nonzero winding along a longitudinal spatial direction. In the presence of a Kalb-Ramond field, we show that these theories are equivalent provided the latter direction is an isometry. Finally, we consider a further limit of non-relativistic string theory that has proven useful in the context of AdS/CFT (related to Spin Matrix Theory). In that case, the worldsheet theory itself becomes non-relativistic and the dilaton coupling vanishes.


AdS-CFT Correspondence Conformal Field Models in String Theory Gauge-gravity correspondence String Duality 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited


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© The Author(s) 2019

Authors and Affiliations

  1. 1.The Niels Bohr InstituteUniversity of CopenhagenCopenhagen ØDenmark
  2. 2.School of Mathematics and Maxwell Institute for Mathematical SciencesUniversity of EdinburghEdinburghU.K.
  3. 3.Dipartimento di Fisica e GeologiaUniversità di Perugia, I.N.F.N. Sezione di PerugiaPerugiaItaly
  4. 4.Nordita, KTH Royal Institute of Technology and Stockholm UniversityStockholmSweden

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