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.

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

References in corpus (11)

• The BMS/GCA correspondence
• Galilean Conformal Algebras and AdS/CFT
• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• Non-Relativistic Strings and Limits of the AdS/CFT Correspondence
• Newton-Hooke Algebras, Non-relativistic Branes and Generalized pp-wave Metrics
• Towards integrability for AdS3/CFT2
• Extended Galilean symmetries of non-relativistic strings
• The Classical Exchange Algebra of AdS5 x S5 String Theory
• Spin Matrix Theory String Backgrounds and Penrose Limits of AdS/CFT
• Non-Relativistic AdS Branes and Newton-Hooke Superalgebra
• Lie Algebra Expansion and Integrability in Superstring Sigma-Models

Cited by in corpus (4)

• Nonrelativistic Approximations of Closed Bosonic String Theory
• Extending the non-relativistic string AdS coset
• Non-relativistic string monodromies
• An integrable deformed Landau-Lifshitz model with particle production?