Cyclic Permutations in Kazama-Suzuki String Models

TL;DR

This paper explores cyclic permutation modding in 4D string models based on N=2 coset constructions, analyzing their equivalences and computing massless states relevant to E6 symmetry.

Contribution

It introduces cyclic permutation modding in Kazama-Suzuki models and investigates the resulting equivalences between conformal theories with identical chiral rings.

Findings

Computed massless chiral and antichiral states for E6

Identified equivalences between different conformal theories with same chiral rings

Analyzed the impact of cyclic permutation symmetries on string model spectra

Abstract

Moddings by cyclic permutation symmetries are performed in 4-dimensional strings, built up from N=2 coset models of the type $CP_m=SU(m+1)/SU(m)\times U(1)$. For some exemplifying cases, the massless chiral and antichiral states of $E_6$ are computed. The extent of the equivalence between different conformal invariant theories which possess equal chiral rings is analyzed.