The limit of N=(2,2) superconformal minimal models

TL;DR

This paper investigates the limiting behavior of N=(2,2) superconformal minimal models as their central charge approaches 3, revealing a non-rational theory with a continuum of primary fields and computing key correlation functions.

Contribution

It characterizes the limit of N=(2,2) superconformal minimal models at c=3, providing the spectrum and correlation functions of the resulting non-rational theory.

Findings

The limiting theory has a continuum of chiral primary fields.

Explicit formulas for three-point functions on the sphere.

Computed disc one-point functions in the limit.

Abstract

The limit of families of two-dimensional conformal field theories has recently attracted attention in the context of AdS/CFT dualities. In our work we analyse the limit of N=(2,2) superconformal minimal models when the central charge approaches c=3. The limiting theory is a non-rational N=(2,2) superconformal theory, in which there is a continuum of chiral primary fields. We determine the spectrum of the theory, the three-point functions on the sphere, and the disc one-point functions.