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Nonrelativistic strings on $ R \times S^2 $ and integrable systems

1 Pith paper cite this work. Polarity classification is still indexing.

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abstract

We show that the (torsional) nonrelativistic string sigma models on $ R\times S^2 $ can be mapped into \emph{deformed} Rosochatius like integrable models in one dimension. We also explore the associated Hamiltonian constrained structure by introducing appropriate Dirac brackets. These results show some solid evidence of the underlying integrable structure in the nonrelativistic sector of the gauge/string duality.

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hep-th 1

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2025 1

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representative citing papers

Can Non-Relativistic Strings Propagate Without Geometric Baggage?

hep-th · 2025-06-14 · reject · novelty 4.0

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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  • Can Non-Relativistic Strings Propagate Without Geometric Baggage? hep-th · 2025-06-14 · reject · none · ref 24 · internal anchor

    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.