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Nonrelativistic giant magnons from Newton Cartan strings
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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.
Forward citations
Cited by 2 Pith papers
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Can Non-Relativistic Strings Propagate Without Geometric Baggage?
The paper claims that standard Newton-Cartan geometry is sufficient for classical non-relativistic string propagation, making the auxiliary gauge fields of gauging-the-algebra constructions dynamically redundant.
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An Introduction to String Newton-Cartan Holography and Integrability
String Newton-Cartan holography, the non-relativistic limit of the AdS/CFT correspondence, is organized and reviewed around five consistency conditions, with its classical solutions, spectrum, and integrability structure.
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