Oct 6 – 10, 2025
EIMI
Europe/Moscow timezone

Explicit Construction of states in the orbifolds of N=2 Minimal models of ADE type

Oct 7, 2025, 5:40 PM
20m
Main hall

Main hall

Session talk Section A: Mathematical methods in QFT Section A: Mathematical methods in QFT

Speaker

Boris Eremin (Institute for Information Transmission Problems RAS, Skoltech)

Description

We propose the explicit construction of fields in the orbifolds of products of $N=(2,2)$ minimal models with ADE invariants. It is shown that spectral flow twisting by the elements of admissible group $G_{\text{adm}}$, is consistent with the nondiagonal pairing of D and E type minimal models. We obtain the complete set of fields of the orbifold from the mutual locality and other requirements of the conformal bootstrap. The collection of mutually local primary fields is labeled by the elements of mirror group $G^{*}_{\text{adm}}$. The permutation of $G_{\text{adm}}$ and $G^*_{\text{adm}}$ is given by the mirror spectral flow construction of the fields and transforms the original orbifold into a mirror one.
This transformation is by construction an isomorphism of $N=(2,2)$ models.
We illustrate our construction for the orbifolds of $\textbf{A}_{2}\textbf{E}_7^{3}$ model.}

Author

Boris Eremin (Institute for Information Transmission Problems RAS, Skoltech)

Presentation materials