Wall-crossing of TBA equations and WKB periods for the higher order ODE

被引:0
|
作者
Ito, Katsushi [1 ]
Kondo, Takayasu [1 ]
Shu, Hongfei [2 ,3 ]
机构
[1] Tokyo Inst Technol, Dept Phys, Tokyo 1528551, Japan
[2] Beijing Inst Math Sci & Applicat BIMSA, Beijing 101408, Peoples R China
[3] Tsinghua Univ, Yau Math Sci Ctr YMSC, Beijing 100084, Peoples R China
基金
日本学术振兴会;
关键词
TBA equations; WKB period; Wall-crossing; ODE/IM correspondence;
D O I
暂无
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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.
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页码:43 / 52
页数:10
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