Duality Symmetries in Orbifold Models

TL;DR

This paper investigates the duality symmetries affecting gauge coupling corrections in specific Coxeter orbifold models, focusing on cases with fixed 2D sublattices that cannot be decomposed into simpler components.

Contribution

It derives the relevant duality symmetries for moduli-dependent gauge coupling threshold corrections in Coxeter Z_N orbifolds with fixed 2D sublattices.

Findings

Identifies duality symmetries in complex orbifold models

Analyzes cases with non-decomposable six-dimensional lattices

Provides a framework for understanding gauge coupling corrections

Abstract

We derive the duality symmetries relevant to moduli dependent gauge coupling constant threshold corrections, in Coxeter $ {\bf Z_N} $ orbifolds. We consider those orbifolds for which the point group leaves fixed a 2-dimensional sublattice $\Lambda_2$, of the six dimensional torus lattice $\Lambda_6$, where $\Lambda_6 $ cannot be decomposed as $\Lambda_2 \bigoplus{\Lambda_4}.$