# Dark Energy and String Theory

## TL;DR

This paper proposes a novel string theory framework with non-commutative geometry that naturally produces a stable de Sitter spacetime, offering insights into dark energy and the cosmological constant problem.

## Contribution

It introduces a non-commutative, generalized-geometric formulation of string theory that yields a radiatively stable de Sitter space with a positive cosmological constant.

## Key findings

- Constructs a stable de Sitter spacetime within string theory.
- Derives a see-saw-like formula for dark energy.
- Links non-commutative geometry to dark energy phenomena.

## Abstract

A radiatively stable de Sitter spacetime is constructed by considering an intrinsically non-commutative and generalized-geometric formulation of string theory, which is related to a family of F-theory models endowed with non-trivial anisotropic axion-dilaton backgrounds. In particular, the curvature of the canonically conjugate dual space provides for a positive cosmological constant to leading order, that satisfies a radiatively stable see-saw-like formula, which in turn induces the dark energy in the observed spacetime. We also comment on the non-commutative phase of the non-perturbative formulations of string theory/quantum gravity implied by this approach.