On the Renormalization Group Flow in Two Dimensional Superconformal Models

TL;DR

This paper investigates the renormalization group flow in two-dimensional supersymmetric minimal models, extending previous results to higher order and computing conformal blocks and anomalous dimensions.

Contribution

It introduces a method to compute conformal blocks and anomalous dimensions in supersymmetric models at next-to-leading order, revealing similarities with non-supersymmetric theories.

Findings

Computed conformal blocks for NS and Ramond fields at leading order in 1/p.

Derived anomalous dimensions for specific fields in SM_p models.

Found that IR limits of fields match non-supersymmetric minimal models.

Abstract

We extend the results on the RG flow in the next to leading order to the case of the supersymmetric minimal models SM_p for p>> 1. We explain how to compute the NS and Ramond fields conformal blocks in the leading order in 1/p and follow the renormalization scheme propsed in [1]. As a result we obtained the anomalous dimensions of certain NS and Ramond fields. It turns out that the linear combination expressing the infrared limit of these fields in term of the IR theory SM_{p-2} is exactly the same as those of the nonsupersymmetric minimal theory.