论文标题
Ginzburg-Landau的描述和紧急超对称性$（3,8）$最小模型
Ginzburg-Landau Description and Emergent Supersymmetry of the $(3,8)$ Minimal Model
论文作者
论文摘要
众所周知，一对2D非自动最小型号$ M（2,5）$相当于$ M（3,10）$最小型号的变体。我们讨论了从该模型到另一个非自动最小模型的RG流量，即$ m（3,8）$。这为其先前提出的金茨堡 - 兰道的描述提供了新的证据，这是两个标量与立方相互作用的标量字段的$ \ mathbb {z} _2 $对称理论。我们还指出，$ m（3,8）$等同于$（2,8）$的超符号最小型号，对角模块化不变。使用与立方相互作用的标量场理论的5循环结果，我们展示了各种操作员尺寸的$6-ε$扩展。他们的外推与2D的确切结果非常吻合。我们还使用它们将$ M（3,8）$通用类中理论的$ d = 3,4,5 $中的缩放维度近似。
A pair of the 2D non-unitary minimal models $M(2,5)$ is known to be equivalent to a variant of the $M(3,10)$ minimal model. We discuss the RG flow from this model to another non-unitary minimal model, $M(3,8)$. This provides new evidence for its previously proposed Ginzburg-Landau description, which is a $\mathbb{Z}_2$ symmetric theory of two scalar fields with cubic interactions. We also point out that $M(3,8)$ is equivalent to the $(2,8)$ superconformal minimal model with the diagonal modular invariant. Using the 5-loop results for theories of scalar fields with cubic interactions, we exhibit the $6-ε$ expansions of the dimensions of various operators. Their extrapolations are in quite good agreement with the exact results in 2D. We also use them to approximate the scaling dimensions in $d=3,4,5$ for the theories in the $M(3,8)$ universality class.
