We show that the (torsional) nonrelativistic string sigma models on $R\times S^2$ can be mapped into 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.

中文翻译：

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R  ×  S ²和可积系统上的非相对论字符串

我们证明了（扭转）非相对论的字符串sigma模型 $\mathrm{[R}\times {\mathrm{小号}}^2$可以在一维中像可积模型一样映射到变形的Rosochatius中。我们还通过引入适当的狄拉克括号来探索相关的哈密顿约束结构。这些结果显示了一些可靠的证据，证明了量规/弦对偶性的非相对论领域中的潜在可积结构。