According to recent arguments by the author, the conformal field theory (CFT) describing the scaling limit of the integer quantum Hall plateau transition is a deformed level-4 Wess–Zumino–Novikov–Witten model with Riemannian target space inside a complex Lie supergroup $\mathrm{GL}$. After a summary of that proposal and some of its predictions, the leading irrelevant and relevant perturbations of the proposed CFT are discussed. Argued to be marginal, these result in a non-standard renormalization group (RG) flow near criticality, which calls for modified finite-size scaling analysis and may explain the long-standing inability of numerical work to reach agreement on the values of critical exponents. The technique of operator product expansion is used to compute the RG-beta functions up to cubic order in the couplings. The mean value of the dissipative conductance at the RG-fixed point is calculated for a cylinder geometry with any aspect ratio.

根据作者最近的论点，描述整数量子霍尔平台跃迁的标度极限的保形场论 (CFT) 是变形的 4 级 Wess-Zumino-Novikov-Witten 模型，在复杂的李超群内具有黎曼目标空间 $\mathrm{GL}$. 在对该提议及其一些预测进行总结之后，讨论了提议的 CFT 的主要不相关和相关扰动。被认为是边际的，这些导致接近临界的非标准重整化群 (RG) 流，这需要修改的有限尺寸缩放分析，并可以解释数值工作长期以来无法就临界指数的值达成一致. 算子乘积扩展技术用于计算耦合中高达三次阶的 RG-β 函数。对于具有任何纵横比的圆柱几何形状，计算 RG 固定点的耗散电导的平均值。