Kahler Potentials and Renormalization Group Flows in N=2 Landau-Ginzburg Models

TL;DR

This paper investigates the conditions for superconformal invariance and the behavior of the K"ahler potential in N=2 Landau-Ginzburg models, analyzing RG flows and their infrared fixed points related to minimal models.

Contribution

It characterizes the K"ahler potential and RG flow trajectories in N=2 Landau-Ginzburg models with superpotential gX^k, linking them to minimal model fixed points.

Findings

Identifies conditions for superconformal invariance.

Describes RG flow trajectories reaching minimal model fixed points.

Connects K"ahler potential forms to IR fixed points.

Abstract

We examine the conditions for superconformal invariance and the specific form of the K\"ahler potential for a two-dimensional lagrangian model with $N=2$ supersymmetry and superpotential $gX^k$. Away from the superconformal point we study the renormalization group flow induced by a particular class of K\"ahler potentials. We find trajectories which, in the infrared, reach the fixed point with a central charge whose value is that of the $N=2$, $A_{k-1}$ minimal model.