Duality defects in $D_n$-type Niemeier lattice CFTs

TL;DR

This paper constructs and analyzes duality defects in $c=24$ Niemeier lattice CFTs, focusing on $D_n$-type lattices, identifying symmetries, and exploring orbifold mappings and defect partition functions.

Contribution

It introduces a method to construct duality defects in $D_n$-type Niemeier lattice CFTs and analyzes their properties and implications.

Findings

Identification of non-anomalous $bZ_2$ symmetries.

Construction of duality defect partition functions.

Discovery of new defect partition functions from exchange automorphisms.

Abstract

We discuss the construction of duality defects in $c=24$ meromorphic CFTs that correspond to Niemeier lattices. We will illustrate our constructions for the $D_n$-type lattices. We will identify non-anomalous $\mathbb{Z}_2$ symmetries of these theories, and we show that on orbifolding with respect to these symmetries, these theories map to each other. We investigate this map, and in the case of self-dual orbifolds, we provide the duality defect partition functions. We show that exchange automorphisms in some CFTs give rise to a new class of defect partition functions.