Nonrelativistic giant magnons from Newton Cartan strings

DOI10.1007/JHEP02(2020)109zbMATH Open1435.83135arXiv2001.01061MaRDI QIDQ2188618

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Publication date: 11 June 2020

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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 $Rimes{S}^2$ 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.

Full work available at URL: https://arxiv.org/abs/2001.01061

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