An action for extended string Newton-Cartan gravity View Full Text


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Article Info

DATE

2019-01

AUTHORS

Eric A. Bergshoeff, Kevin T. Grosvenor, Ceyda Şimşek, Ziqi Yan

ABSTRACT

We construct an action for four-dimensional extended string Newton-Cartan gravity which is an extension of the string Newton-Cartan gravity that underlies nonrelativistic string theory. The action can be obtained as a nonrelativistic limit of the EinsteinHilbert action in General Relativity augmented with a term that contains an auxiliary two-form and one-form gauge field that both have zero flux on-shell. The four-dimensional extended string Newton-Cartan gravity is based on a central extension of the algebra that underlies string Newton-Cartan gravity. The construction is similar to the earlier construction of a three-dimensional Chern-Simons action for extended Newton-Cartan gravity, which is based on a central extension of the algebra that underlies Newton-Cartan gravity. We show that this three-dimensional action is naturally obtained from the four-dimensional action by a reduction over the spatial isometry direction longitudinal to the string followed by a truncation of the extended string Newton-Cartan gravity fields. Our construction can be seen as a special case of the construction of an action for extended p-brane Newton-Cartan gravity in p + 3 dimensions. More... »

PAGES

178

References to SciGraph publications

  • 2018-11. Strings with non-relativistic conformal symmetry and limits of the AdS/CFT correspondence in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-12. Bulk-boundary correspondence between charged, anyonic strings and vortices in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-02. Extended Galilean symmetries of non-relativistic strings in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-05. Remark about non-relativistic string in Newton-Cartan background and null reduction in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-02. The Galilean superstring in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-11-04. A Chern-Simons approach to Galilean quantum gravity in 2+1 dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-04. Tachyons in the Galilean limit in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-07-10. Galilean conformal algebras and AdS/CFT in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-03. Carroll versus Galilei gravity in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-11. Nonrelativistic string theory and T-duality in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/jhep01(2019)178

    DOI

    http://dx.doi.org/10.1007/jhep01(2019)178

    DIMENSIONS

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