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arXiv · 2001.01061

Nonrelativistic giant magnons from Newton Cartan strings

Dibakar Roychowdhury
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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.

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Dibakar Roychowdhury. 2020-01-04. Nonrelativistic giant magnons from Newton Cartan strings. https://doi.org/10.1007/jhep02(2020)109

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