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A Non-Relativistic Limit of NS-NS Gravity

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arxiv 2102.06974 v2 pith:JRS52CCA submitted 2021-02-13 hep-th gr-qc

Eric Bergshoeff , Johannes Lahnsteiner , Luca Romano , Jan Rosseel , Ceyda Simsek This is my paper
classification hep-thgr-qc
keywords limittermconstraintsequationsmotionactionfieldgeometric
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We discuss a particular non-relativistic limit of NS-NS gravity that can be taken at the level of the action and equations of motion, without imposing any geometric constraints by hand. This relies on the fact that terms that diverge in the limit and that come from the Vielbein in the Einstein-Hilbert term and from the kinetic term of the Kalb-Ramond two-form field cancel against each other. This cancelling of divergences is the target space analogue of a similar cancellation that takes place at the level of the string sigma model between the Vielbein in the kinetic term and the Kalb-Ramond field in the Wess-Zumino term. The limit of the equations of motion leads to one equation more than the limit of the action, due to the emergence of a local target space scale invariance in the limit. Some of the equations of motion can be solved by scale invariant geometric constraints. These constraints define a so-called Dilatation invariant String Newton-Cartan geometry.

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Cited by 5 Pith papers

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

  1. Carrollian limit of NS-NS and Heterotic Supergravity

    hep-th 2026-07 conditional novelty 7.0 of 10

    Ultra-relativistic expansion plus dilaton scaling produces finite covariant Carrollian NS-NS and heterotic supergravity actions, with trivializable Green-Schwarz for the 1-form and finite leading Riem^{2} α' corrections.

  2. Curvatures and Non-metricities in the Non-Relativistic Limit of Bosonic Supergravity

    hep-th 2026-01 conditional novelty 6.0 of 10

    A metric-only, torsionless-connection formulation with fixed non-metricities rewrites the non-relativistic limit of bosonic supergravity covariantly and matches the vielbein string Newton-Cartan action at Lagrangian level.

  3. Higher-Order Newton-Cartan Gravity

    hep-th 2025-07 conditional novelty 6.0 of 10

    The authors derive non-relativistic Newton-Cartan limits of quadratic gravity theories, obtaining higher-order corrected Poisson equations for Einstein-Gauss-Bonnet and Ricci-squared gravity.

  4. The non-relativistic limit of HSZ Theory

    hep-th 2025-05 conditional novelty 6.0 of 10

    The non-relativistic limit of HSZ theory produces non-removable metric and b-field transformation corrections, and a finite four-derivative action requires field redefinitions before the limit.

  5. 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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