The geometry of the limit of N=2 minimal models

TL;DR

This paper investigates the limit of N=(2,2) superconformal minimal models as the central charge approaches 3, revealing two distinct limit theories: a free theory and a continuous orbifold, supported by conformal field theory calculations.

Contribution

It demonstrates that the c→3 limit of N=(2,2) minimal models results in two different theories, expanding understanding of their geometric and conformal field theory structures.

Findings

Two limit theories: free bosons and fermions, and a continuous orbifold.

Confirmation through detailed conformal field theory computations.

Provides geometric interpretation of the limit theories.

Abstract

We consider the limit of two-dimensional N=(2,2) superconformal minimal models when the central charge approaches c=3. Starting from a geometric description as non-linear sigma models, we show that one can obtain two different limit theories. One is the free theory of two bosons and two fermions, the other one is a continuous orbifold thereof. We substantiate this claim by detailed conformal field theory computations.