More Dual String Pairs From Orbifolding

TL;DR

This paper constructs new dual pairs of type II and heterotic string theories in four dimensions with different supersymmetries, using orbifold techniques involving K3 automorphisms and T^2 rotations, revealing rich structures and quantum corrections.

Contribution

It introduces novel dual pairs of string theories via orbifolding with specific automorphisms and explores their properties, including quantum corrections and orientifold analogs.

Findings

New dual pairs with non-zero Euler number Calabi-Yau orbifolds.

Dependence of heterotic duals on enhanced symmetry points.

Discussion of singularities and beyond adiabatic approximation.

Abstract

We construct more dual pairs of type II-heterotic strings in four dimensions with $N=2,1$ spacetime supersymmetry. On the type II side the construction utilizes the various possible choices of K3 automorphisms with fixed points which transform the holomorphic two-form nontrivially, and rotation plus translation on $T^2$. The Calabi-Yau orbifolds so obtained have non-zero Euler numbers, so quantum corrections exist on the type IIA strings. The heterotic string (asymmetric) orbifold duals are found which depend on going to the enhanced symmetry points. Some aspects of the construction are discussed including the role of the singularity and the possibility of going beyond the adiabatic argument. Many of these examples have also orientifold analogs.