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 × 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 small momentum limit of the giant magnon dispersion relation in the dual SMT at 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.

中文翻译：

---

来自 Newton Cartan 弦的非相对论巨磁子

我们通过用（半）经典非相对论刚性旋转弦探测扭转牛顿嘉当（TNC）几何来展示非相对论（NR）巨磁振子色散关系。我们在 R × S 2 上构建 NR sigma 模型，并考虑两个特别感兴趣的特定限制情况。这两个限制条件导致了我们认为在强耦合下双 SMT 中巨磁振子色散关系的小动量限制。我们在存在背景 NS-NS 通量的情况下进一步概括了我们的结果。我们的分析表明，与其相对论对应物不同，NR 弦理论缺乏单尖峰解决方案。