ODE/IM correspondence and the Argyres-Douglas theory
ODE/IM correspondence and the Argyres-Douglas theory
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DOI：
10.1007/jhep08(2017)071
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发表时间：
2017-07
影响因子：
5.4
通讯作者：
K. Ito;Hongfei Shu
中科院分区：
文献类型：
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作者：
K. Ito;Hongfei Shu
我们研究了omega背景下Nekrasov-Sahashvili极限下Argyres-Douglas理论的量子光谱曲线。利用ODE/IM对应关系研究了量子谱曲线对应的量子可积模型。我们在研究= 2超共形场理论的4d/2d对应关系时，证明了a2n型理论的模型是分数阶上的非酉协集模型（a1） 1x (a1) L/(a1) L+ 1。基于WKB分析，我们澄清了y函数与量子周期的关系，并研究了量子周期的精确玻尔-索默菲尔德量子化条件。我们还讨论了D型和E型理论的量子谱曲线。
We study the quantum spectral curve of the Argyres-Douglas theories in the Nekrasov-Sahashvili limit of the Omega-background. Using the ODE/IM correspondence we investigate the quantum integrable model corresponding to the quantum spectral curve. We show that the models for the A 2N-type theories are non-unitary coset models (A 1) 1×(A 1) L/(A 1) L+ 1 at the fractional level, which appear in the study of the 4d/2d correspondence of= 2 superconformal field theories. Based on the WKB analysis, we clarify the relation between the Y-functions and the quantum periods and study the exact Bohr-Sommerfeld quantization condition for the quantum periods. We also discuss the quantum spectral curves for the D and E type theories.