Exact Monodromy Group of N=2 Heterotic Superstring

TL;DR

This paper analyzes an N=2 heterotic superstring model, revealing its duality symmetries and quantum monodromies, including a non-perturbative stringy monodromy related to string coupling and compactification radius exchange.

Contribution

It provides an exact description of the duality group and monodromies in a rank-3 N=2 heterotic superstring model, linking perturbative and non-perturbative effects.

Findings

Duality symmetry includes perturbative and non-perturbative monodromies.

Identifies a stringy non-perturbative monodromy exchanging string coupling and radius.

Shows the heterotic model's duality group matches type-II string compactification symmetries.

Abstract

We describe an $N=2$ heterotic superstring model of rank-3 which is dual to the type-II string compactified on a Calabi-Yau manifold with Betti numbers $b_{1,1}=2$ and $b_{1,2}=86$. We show that the exact duality symmetry found from the type II realization contains the perturbative duality group of the heterotic model, as well as the exact quantum monodromies of the rigid $SU(2)$ super-Yang-Mills theory. Moreover, it contains a non-perturbative monodromy which is stringy in origin and corresponds roughly to an exchange of the string coupling with the compactification radius.