Generalized string compactifications with spontaneously broken supersymmetry

TL;DR

This paper extends the Narain lattice framework for string compactifications to include models with spontaneously broken supersymmetry, providing a general solution that encompasses various geometrical and non-geometrical interpretations.

Contribution

It generalizes the Narain lattice construction to include spontaneous supersymmetry breaking, solving consistency conditions in full generality.

Findings

Incorporates models with supersymmetry breaking inversely related to compactification radii.

Allows for models with different geometrical or non-geometrical interpretations.

Provides a comprehensive framework for consistent string compactifications with broken supersymmetry.

Abstract

The Narain lattice construction of string compactifications is generalized to include spontaneously broken supersymmetry. Consistency conditions from modular invariance and Lorentz symmetry are solved in full generality. This framework incorporates models where supersymmetry breaking is inversely proportional to the radii of compact dimensions. The enhanced lattice description, however, might allow for models with a different geometrical or even non-geometrical interpretation.