Moduli Instability in Warped Compactifications of the Type IIB Supergravity

TL;DR

This paper demonstrates that certain warped compactifications in type IIB supergravity, including the Klebanov-Strassler solution, are dynamically unstable in their moduli sector, leading to significant time-dependent changes in spacetime structure.

Contribution

It reveals the inherent dynamical instability of conifold and deformed-conifold warped compactifications, highlighting the role of supersymmetry breaking.

Findings

Instability affects the scale moduli of Calabi-Yau spaces.

Large warp factors can delay but not prevent instability.

Time dependence significantly alters spacetime geometry.

Abstract

We show that the conifold and deformed-conifold warped compactifications of the ten-dimensional type IIB supergravity, including the Klebanov-Strassler solution, are dynamically unstable in the moduli sector representing the scale of a Calabi-Yau space, although it can be practically stable for a quite long time in a region with a large warp factor. This instability is associated with complete supersymmetry breaking except for a special case and produces significant time-dependence in the structure of the four-dimensional base spacetime as well as of the internal space.