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.

Latex, 9 pages, Accepted for publication in JHEP

References in corpus (7)

• Giant Magnons
• Non-Relativistic Strings and Limits of the AdS/CFT Correspondence
• Spiky strings and giant magnons on S5
• Single spike solutions for strings on S2 and S3
• Spin Matrix Theory: A quantum mechanical model of the AdS/CFT correspondence
• Probing tachyon kinks in Newton-Cartan background
• Giant Magnons under NS-NS and Melvin Fields

Cited by in corpus (4)

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• Classical string solutions in Non-Relativistic AdS${}_5\times$S${}^5$: Closed and Twisted sectors
• Longitudinal Galilean and Carrollian limits of non-relativistic strings
• Newton-Cartan $D0$ branes from $D1$ branes and integrability