Relating the Cosmological Constant and Supersymmetry Breaking in Warped Compactifications of IIB String Theory

TL;DR

This paper explores how warped compactifications in IIB string theory can naturally produce a small positive cosmological constant linked to supersymmetry breaking, providing a potential explanation for observed dark energy.

Contribution

It demonstrates that a relation between the cosmological constant and supersymmetry breaking scale emerges naturally in warped string compactifications with non-isotropic moduli.

Findings

Relation a0 \\Lambda a0 \\sim M_p^4 (M_{susy}/M_p)^8

Warped compactifications can induce a small positive cosmological constant

Non-isotropic stringy moduli play a key role in the mechanism

Abstract

It has been suggested that the observed value of the cosmological constant is related to the supersymmetry breaking scale M_{susy} through the formula Lambda \sim M_p^4 (M_{susy}/M_p)^8. We point out that a similar relation naturally arises in the codimension two solutions of warped space-time varying compactifications of string theory in which non-isotropic stringy moduli induce a small but positive cosmological constant.