论文标题
在Bi-Yang-Baxter模型中复兴
Resurgence in the Bi-Yang-Baxter Model
论文作者
论文摘要
我们研究$ SU（2）$主手性模型（PCM）及其有限的动作Uniton Solutions的可集成Bi-Yang-Baxter变形。在$ s^1 $上的绝热压实下，我们获得了具有椭圆形拉美状潜力的量子力学。 我们对该量子力学中的基态能量进行扰动计算，以获得获得渐近系列的大阶。 Using the Borel-Padé technique, we determine the expected locations of branch cuts in the Borel plane of the perturbative series and show that they match the values of the uniton actions. Therefore, we can match the non-perturbative contributions to the energy with the uniton solutions which fractionate upon adiabatic compactification. An off-shoot of the WKB analysis, is to identify the quadratic differential of this deformed PCM with that of an $\mathcal{N}=2$ Seiberg-Witten theory.这可以作为$ n_f = 4 $ $ $ su（2）$理论或椭圆颤动$ su（2）\ times su（2）$理论来完成。仪表理论的质量参数由PCM的变形参数给出。
We study the integrable bi-Yang-Baxter deformation of the $SU(2)$ principal chiral model (PCM) and its finite action uniton solutions. Under an adiabatic compactification on an $S^1$, we obtain a quantum mechanics with an elliptic Lamé-like potential. We perform a perturbative calculation of the ground state energy in this quantum mechanics to large orders obtaining an asymptotic series. Using the Borel-Padé technique, we determine the expected locations of branch cuts in the Borel plane of the perturbative series and show that they match the values of the uniton actions. Therefore, we can match the non-perturbative contributions to the energy with the uniton solutions which fractionate upon adiabatic compactification. An off-shoot of the WKB analysis, is to identify the quadratic differential of this deformed PCM with that of an $\mathcal{N}=2$ Seiberg-Witten theory. This can be done either as an $N_f=4$ $SU(2)$ theory or as an elliptic quiver $SU(2)\times SU(2)$ theory. The mass parameters of the gauge theory are given by the deformation parameters of the PCM.
