Nonrelativistic strings on $ R \times S^2 $ and integrable systems
High Energy Physics - Theory
2020-10-21 v2
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.
Keywords
Cite
@article{arxiv.2003.02613,
title = {Nonrelativistic strings on $ R \times S^2 $ and integrable systems},
author = {Dibakar Roychowdhury},
journal= {arXiv preprint arXiv:2003.02613},
year = {2020}
}
Comments
Latex, 8 pages, Revised version, Accepted for publication in Nucl. Phys. B