In this Letter, we study the semi-classical spectrum of integrable worldsheet σ-models using the Spectral Curve. We consider a Homogeneous Yang-Baxter deformation of the AdS5×S5 superstring, understood as the composition of a Jordanian with a “non-diagonal” TsT deformation. We derive its type IIB supergravity solution, whose isometry algebra features zero supercharges and a non-relativistic conformal algebra in 0+1 dimensions. While the Spectral Curves of non-diagonal TsT models are ill-defined, we demonstrate that the composition with a Jordanian model regularises this issue. From the regularised Curve, we derive the one-loop shift of the classical energy and the semi-classical spectrum of excitations of a point-like string. In the TsT limit, the one-loop shift vanishes despite the loss of supersymmetry. Our results suggest that it may be possible to use standard Bethe Ansatze on spin chain pictures of deformed N=4 Super-Yang-Mills theory dual to non-diagonal TsT models.

中文翻译：

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齐次杨-巴克斯特弦的正则化谱曲线


在这封信中，我们使用谱曲线研究可积世界表 σ 模型的半经典谱。我们考虑 AdS5×S5 超弦的均质 Yang-Baxter 变形，将其理解为具有“非对角”TsT 变形的约旦的组成。我们推导出其IIB型超引力解，其等距代数具有零增压和0+1维非相对论共形代数的特征。虽然非对角 TsT 模型的谱曲线定义不明确，但我们证明与约旦模型的组合可以规范化这个问题。从正则化曲线中，我们推导出经典能量的单环位移和点状弦的激励的半经典谱。在 TsT 极限下，尽管超对称性丢失，但单环位移消失。我们的结果表明，可以在变形的 N=4 Super-Yang-Mills 理论对偶非对角 TsT 模型的自旋链图像上使用标准 Bethe Ansatze。