Nonrelativistic giant magnons from Newton Cartan strings

Abstract

We show nonrelativistic (NR) giant magnon dispersion relations by probing the torsional Newton Cartan (TNC) geometry with (semi)classical nonrelativistic rigidly rotating strings. We construct NR sigma models over $R\times S^2$ and consider two specific limiting cases those are of particular interest. Both of these limiting conditions give rise to what we identify as the \emph{small} momentum limit of the giant magnon dispersion relation in the dual SMT at \emph{strong} coupling. We further generalize our results in the presence of background NS-NS fluxes. Our analysis reveals that unlike its relativistic counterpart, the NR string theory lacks of single spike solutions.

arXiv commentLatex, 9 pages, Accepted for publication in JHEP

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• Geometrizing non-relativistic bilinear deformations
• Classical string solutions in Non-Relativistic AdS${}_5\times$S${}^5$: Closed and Twisted sectors
• Longitudinal Galilean and Carrollian limits of non-relativistic strings
• Stable and Unstable Dp-branes in p-brane Newton-Cartan Background
• Nonrelativistic spinning strings
• Newton-Cartan $D0$ branes from $D1$ branes and integrability