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Background Field Method for Nonlinear Sigma Models in Nonrelativistic String Theory

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arxiv 1912.03181 v3 pith:VCHB77X5 submitted 2019-12-06 hep-th

classification hep-th
keywords stringbackgroundfieldgeometrynonrelativistictheorymethodnonlinear
verification ladder T0 review T1 audit T2 compute T3 formal
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We continue the study of nonrelativistic string theory in background fields. Nonrelativistic string theory is described by a nonlinear sigma model that maps a relativistic worldsheet to a non-Lorentzian and non-Riemannian target space geometry, which is known to be string Newton-Cartan geometry. We develop the covariant background field method in this non-Riemannian geometry. We apply this background field method to compute the beta-functions of the nonlinear sigma model that describes nonrelativistic string theory on a string Newton-Cartan geometry background, in presence of a Kalb-Ramond two-form and dilaton field.

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Cited by 3 Pith papers

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  1. Carrollian superstring in the flipped vacuum

    hep-th 2025-01 conditional novelty 6.0 of 10

    The Carrollian superstring in the flipped vacuum has a non-truncated spectrum with nonzero winding in the infinite-radius limit, and its three-point graviton amplitudes match tensile superstring results up to location...

  2. On the Underlying Nonrelativistic Nature of Relativistic Holography

    hep-th 2025-02 conditional novelty 5.0 of 10

    Standard AdS/CFT duality is reinterpreted as D-brane/black-brane duality in nonrelativistic D3-brane theory, with AdS5×S5 as a relativistic bubble in flat 3-Newton-Cartan geometry.

  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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