Coset space actions for nonrelativistic strings

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.

arXiv comment28 pages, v3: introduction and references improved, matching the published version in JHEP

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Cited by in corpus (5)

• Nonrelativistic Approximations of Closed Bosonic String Theory
• Extending the non-relativistic string AdS coset
• Non-relativistic string monodromies
• Light-Cone Gauge in Non-Relativistic AdS${}_5\times$S${}^5$ String Theory
• An integrable deformed Landau-Lifshitz model with particle production?