Nonrelativistic strings on $R\times S^2$ and integrable systems

Abstract

We show that the (torsional) nonrelativistic string sigma models on $R\times S^2$ can be mapped into \emph{deformed} Rosochatius like integrable models in one dimension. We also explore the associated Hamiltonian constrained structure by introducing appropriate Dirac brackets. These results show some solid evidence of the underlying integrable structure in the nonrelativistic sector of the gauge/string duality.

Latex, 8 pages, Revised version, Accepted for publication in Nucl. Phys. B

References in corpus (6)

• Non-Relativistic Strings and Limits of the AdS/CFT Correspondence
• Lifshitz Space-Times for Schroedinger Holography
• Spinning strings in AdS_3 x S^3 with NS-NS flux
• Probing tachyon kinks in Newton-Cartan background
• Elliptic solutions in the Neumann-Rosochatius system with mixed flux
• Integrability of the eta-deformed Neumann-Rosochatius model

Cited by in corpus (2)

• Decoding the Spin-Matrix limit of strings on $Ad{S}_5\times S^5$
• Non-relativistic string monodromies