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Coset space actions for nonrelativistic strings

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arxiv 2203.07386 v3 pith:4YVU3J7I submitted 2022-03-14 hep-th

classification hep-th
keywords cosetstringmodelsnonrelativisticspaceactionsalgebrasbargmann
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We formulate the stringy nonrelativistic limits of the flat space and AdS$_5\times$S$^5$ string as coset models, based on the string Bargmann and extended string Newton-Hooke algebras respectively. Our construction mimics the typical relativistic one, but differs in several interesting ways. Using our coset formulation we give a Lax representation of the equations of motion of both models.

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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. Non-relativistic quantum strings from gauged WZW models

    hep-th 2025-05 conditional novelty 7.0 of 10

    A chiral null gauging of Nappi-Witten WZW models yields a closed string with a Gomis-Ooguri-like spectrum, but with different left- and right-moving sectors.

  2. An integrable deformed Landau-Lifshitz model with particle production?

    hep-th 2025-06 conditional novelty 6.0 of 10

    The Class 5 spin chain's continuum limit is a non-unitary deformed Landau-Lifshitz model with a conserved-charge tower and a soft 1-to-2 S-matrix.

  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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