Wall-crossing of TBA equations and WKB periods for the higher order ODE
Wall-crossing of TBA equations and WKB periods for the higher order ODE
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高阶 ODE 的 TBA 方程和 WKB 周期的穿墙
DOI：
10.1142/9789811261633_0005
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发表时间：
2022
期刊：
影响因子：
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通讯作者：
Shu Hongfei
中科院分区：
文献类型：
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作者：
Ito Katsushi;Kondo Takayasu;Shu Hongfei
本文首先研究了三阶常微分方程的WKB分析，它可以看作是Omega背景下Nekrasov-Shatashvili极限下（A2，AN）型Argyres-Douglas理论的量子化Seiberg-Witten曲线.然后，我们从常微分方程的解推导出Y函数所满足的热力学Bethe方程（TBA），并将Y函数与WKB周期相识别。对于（A2，A2）型常微分方程，我们研究了TBA方程从最小腔室到最大腔室的跨壁过程。
We first study the WKB analysis of the third order ODE, which can be regarded as the quantized Seiberg-Witten curve of the (A2, AN)-type Argyres-Douglas theory in the Nekrasov-Shatashvili limit of Omega background. We then derive thermodynamic Bethe ansatz (TBA) equations satisfied by the Y-functions from the solutions of the ODE, and identify the Y-function with the WKB period. For the (A2, A2)-type ODE, we study the process of wall-crossing of the TBA equation from the minimal chamber to the maximal chamber.