Shift orbifolds, decompactification limits, and lattices

TL;DR

This paper explores shift orbifolds of Narain conformal field theories, analyzing decompactification limits in heterotic string moduli space and discussing applications to Leech lattice-based CFTs.

Contribution

It introduces a general framework for shift orbifolds of Narain CFTs and investigates their behavior in decompactification limits, with applications to higher rank theories and Leech lattice models.

Findings

Characterization of shift orbifolds in Narain CFTs

Insights into decompactification limits in heterotic moduli space

Applications to Leech lattice-based conformal field theories

Abstract

We describe the general shift orbifold of a Narain CFT and use this to investigate decompactification limits in the heterotic Narain moduli space. We also comment on higher rank theories and describe some applications to the CFT based on the Leech lattice and its shift orbifolds.