On explicit results at the intersection of the Z_2 and Z_4 orbifold subvarieties in K3 moduli space

TL;DR

This paper investigates the intersection of Z_2 and Z_4 orbifold subvarieties in K3 moduli space, providing explicit coordinate and conformal field theory identifications, and demonstrating their orthogonality.

Contribution

It offers explicit coordinate and conformal field theory identifications at the intersection point, clarifying the relationship between the two orbifold subvarieties in K3 moduli space.

Findings

Explicit coordinate identification of Z_2 and Z_4 orbifold theories.

Construction of conformal field theory identifications.

Proof of orthogonality between the subvarieties.

Abstract

We examine the recently found point of intersection between the Z_2 and Z_4 orbifold subvarieties in the K3 moduli space more closely. First we give an explicit identification of the coordinates of the respective Z_2 and Z_4 orbifold theories at this point. Secondly we construct the explicit identification of conformal field theories at this point and show the orthogonality of the two subvarieties.