Duality defects in Dn-type Niemeier lattice CFTs

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 Dn-type lattices. We will identify non-anomalous ℤ2 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.