标题： 关于$β$函数的$N=2$超对称可积sigma模型 显示英文标题

标题： On $β$-function of $N=2$ supersymmetric integrable sigma-models

摘要： 我们研究Kähler ($N=2$) 超对称sigma模型的正则化方案依赖性。 在单环阶次，度量$\beta$函数与非超对称情况相同，并与Ricci张量一致。 MS方案中的首次修正出现在第四环。 我们表明，对于某些可积的Kähler背景，例如完整的$T-$对偶的$\eta$变形$\mathbb{CP}(n)$sigma模型，存在一种方案使得第四环贡献消失。 显示英文摘要

摘要： We study regularization scheme dependence of K\"ahler ($N=2$) supersymmetric sigma models. At the one-loop order the metric $\beta$ function is the same as in non-supersymmetric case and coincides with the Ricci tensor. First correction in MS scheme is known to appear in the fourth loop. We show that for certain integrable K\"ahler backgrounds, such as complete $T-$dual of $\eta$-deformed $\mathbb{CP}(n)$ sigma models, there is a scheme in which the fourth loop contribution vanishes.