# Solutions to the Hull-Strominger system with torus symmetry

## TL;DR

This paper constructs new solutions to the Hull-Strominger system on complex manifolds with torus symmetry, extending previous results to orbifold bases and specific topologies.

## Contribution

It generalizes Fu-Yau solutions to torus bundles over K3 orbifolds and identifies new complex structures on specific smooth manifolds that solve the Hull-Strominger system.

## Key findings

- Solutions on torus bundles over K3 orbifolds
- Existence of solutions on specific topologies like connected sums of spheres
- Extension of Fu-Yau solutions to orbifold settings

## Abstract

We construct new smooth solutions to the Hull-Strominger system, showing that the Fu-Yau solution on torus bundles over K3 surfaces can be generalized to torus bundles over K3 orbifolds. In particular, we prove that, for $13 \leq k \leq 22$ and $14\leq r\leq 22$, the smooth manifolds $S^1\times \sharp_k(S^2\times S^3)$ and $\sharp_r (S^2 \times S^4) \sharp_{r+1} (S^3 \times S^3)$, have a complex structure with trivial canonical bundle and admit a solution to the Hull-Strominger system.