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String Theory and String Newton-Cartan Geometry

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arxiv 1907.10668 v2 pith:II5JSNCD submitted 2019-07-24 hep-th gr-qc

Eric Bergshoeff , Jaume Gomis , Jan Rosseel , Ceyda Simsek , Ziqi Yan This is my paper
classification hep-thgr-qc
keywords stringtheorygeometrynonrelativisticnewton-cartanbackgroundfieldlimit
verification ladder T0 review T1 audit T2 compute T3 formal
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Nonrelativistic string theory is described by a sigma model with a relativistic worldsheet and a nonrelativistic target spacetime geometry, that is called string Newton-Cartan geometry. In this paper we obtain string Newton-Cartan geometry as a limit of the Riemannian geometry of General Relativity with a fluxless two-form field. We then apply the same limit to relativistic string theory in curved background fields and show that it leads to nonrelativistic string theory in a string Newton-Cartan geometry coupled to a Kalb-Ramond and dilaton field background. Finally, we use our limiting procedure to study the spacetime equations of motion and the T-duality transformations of nonrelativistic string theory. Our results reproduce the recent studies of beta-functions and T-duality of nonrelativistic string theory obtained from the microscopic worldsheet definition of nonrelativistic string theory.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A unified expansion of Einstein's gravity

    hep-th 2026-07 conditional novelty 6.0 of 10

    A unified (s,n)-parametrized expansion of the Einstein-Hilbert action yields Galilean, Carroll, Lorentzian, and string Carroll gravity, and near-horizon black hole geometries satisfy the string Carroll equations.

  2. Can Non-Relativistic Strings Propagate Without Geometric Baggage?

    hep-th 2025-06 reject novelty 4.0 of 10

    The paper claims that standard Newton-Cartan geometry is sufficient for classical non-relativistic string propagation, making the auxiliary gauge fields of gauging-the-algebra constructions dynamically redundant.

  3. An Introduction to String Newton-Cartan Holography and Integrability

    hep-th 2026-03 accept novelty 3.0 of 10

    String Newton-Cartan holography, the non-relativistic limit of the AdS/CFT correspondence, is organized and reviewed around five consistency conditions, with its classical solutions, spectrum, and integrability structure.

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