The Orbifolds of N=2 Superconformal Theories with c=3

TL;DR

This paper constructs and analyzes orbifold models of N=2 superconformal theories with central charge c=3, comparing their spectra with Landau-Ginzburg models to verify their equivalence.

Contribution

It explicitly constructs Z_M orbifold models for M=2,3,4,6 and verifies their descriptions via Landau-Ginzburg models through spectral comparisons.

Findings

Successful construction of Z_M orbifolds for M=2,3,4,6

Matching spectra between orbifold models and Landau-Ginzburg descriptions

Verification of the Landau-Ginzburg description via Witten index comparison

Abstract

We construct Z_M, M= 2, 3, 4, 6 orbifold models of the N=2 superconformal field theories with central charge c=3. Then we check the description of the Z_3, Z_4 and Z_6 orbifolds by the N=2 superconformal Landau-Ginzburg models with c=3, by comparing the spectrum of chiral fields, in particular the Witten index Tr(-1)^F.