Simple current extensions and permutation orbifolds in string theory

TL;DR

This paper reviews simple current extensions and permutation orbifolds in conformal field theory, applying them to string compactifications and heterotic models, with a focus on fixed point resolution and model construction.

Contribution

It introduces methods for resolving fixed points in simple current extensions and applies permutation orbifolds to build heterotic string models from N=2 minimal models.

Findings

Resolved fixed points in simple current extensions.

Constructed permutation orbifolds for heterotic string models.

Applied formalism to N=2 minimal models in string compactifications.

Abstract

We review extensions by integer spin simple currents in two-dimensional conformal field theories and their applications in string theory. In particular, we study the problem of resolving the fixed points of a simple current and apply the formalism to the permutation orbifold. In terms of string compactifications, we construct permutations of N=2 minimal models and use them as building blocks in heterotic Gepner models.