# On the Strominger system and holomorphic deformations

## TL;DR

This paper investigates how the existence of solutions to the Strominger system in six dimensions behaves under holomorphic deformations, revealing that it is neither an open nor closed property.

## Contribution

It demonstrates that the existence of solutions to the Strominger system is neither open nor closed under holomorphic deformations of complex structures in six dimensions.

## Key findings

- Existence of solutions is not open under deformations.
- Existence of solutions is not closed under deformations.
- Results hold for both positive and negative slope parameters.

## Abstract

We show that the property of existence of solution to the Strominger system in dimension six is neither open nor closed under holomorphic deformations of the complex structure. These results are obtained both in the case of positive slope parameter as well as in the case of negative slope parameter in the anomaly cancellation equation.