N=1 Heterotic/M-theory Duality and Joyce Manifolds

TL;DR

This paper constructs new dual pairs between heterotic string theory and M-theory using Joyce manifolds and Calabi-Yau compactifications, confirming their spectra match and supporting M-theory's consistency on orbifolds.

Contribution

It introduces an ansatz for constructing heterotic/M-theory dual pairs involving Joyce manifolds and Calabi-Yau spaces, expanding the known duality landscape.

Findings

Dual pairs have matching massless spectra.

Constructed dual pairs involve Joyce manifolds of G2 holonomy.

Supports M-theory consistency on orbifolds.

Abstract

We present an ansatz which enables us to construct heterotic/M-theory dual pairs in four dimensions. It is checked that this ansatz reproduces previous results and that the massless spectra of the proposed dual pairs agree. The new dual pairs consist of M-theory compactifications on Joyce manifolds of $G_2$ holonomy and Calabi-Yau compactifications of heterotic strings. These results are further evidence that M-theory is consistent on orbifolds. Finally, we interpret these results in terms of M-theory geometries which are K3 fibrations and heterotic geometries which are conjectured to be $T^3$ fibrations. Even though the new dual pairs are constructed as non-freely acting orbifolds of existing dual pairs, the adiabatic argument is apparently not violated.