Nonrelativistic strings on and integrable systems
arXiv:2003.02613 · doi:10.1016/j.nuclphysb.2020.115220
Abstract
We show that the (torsional) nonrelativistic string sigma models on 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.
arXiv commentLatex, 8 pages, Revised version, Accepted for publication in Nucl. Phys. B
References in corpus (23)
- Spinning strings in AdS_5 x S^5 and integrable systems
- Spinning strings in AdS_5 x S^5: new integrable system relations
- Non-Relativistic Closed String Theory
- Torsional Newton-Cartan Geometry and Lifshitz Holography
- Boundary Stress-Energy Tensor and Newton-Cartan Geometry in Lifshitz Holography
- Non-Relativistic Superstrings: A New Soluble Sector of AdS_5xS^5
- Non-Relativistic Strings and Limits of the AdS/CFT Correspondence
- Horava-Lifshitz Gravity From Dynamical Newton-Cartan Geometry
- `Stringy' Newton-Cartan Gravity
- Lifshitz Space-Times for Schroedinger Holography
- Strings with Non-Relativistic Conformal Symmetry and Limits of the AdS/CFT Correspondence
- Schroedinger Invariance from Lifshitz Isometries in Holography and Field Theory
- String Theory and String Newton-Cartan Geometry
- Separation of variables for the classical and quantum Neumann model
- A worldsheet supersymmetric Newton-Cartan string
- 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
- Homogeneous Nonrelativistic Geometries as Coset Spaces
- Rotating Solutions of Non-relativistic String Theory
- Integrability of the eta-deformed Neumann-Rosochatius model
- Semiclassical dynamics for torsional Newton-Cartan strings
- Lax pairs for string Newton Cartan geometry