Warped K\"ahler potentials and fluxes

TL;DR

This paper refines the four-dimensional effective theory for warped flux compactifications in type IIB string theory by incorporating the backreaction of K"ahler moduli on fluxes, ensuring consistency with no-scale conditions.

Contribution

It introduces a flux-dependent correction to the K"ahler moduli fields, completing the effective theory and unifying previous partial results for both type IIB and M-theory compactifications.

Findings

Effective theory satisfies no-scale condition

Backreaction of K"ahler moduli on fluxes is incorporated

Results extend to M-theory on Calabi-Yau fourfolds

Abstract

The four-dimensional effective theory for type IIB warped flux compactifications proposed in [1] is completed by taking into account the backreaction of the K\"ahler moduli on the three-form fluxes. The only required modification consists in a flux-dependent contribution to the chiral fields parametrising the K\"ahler moduli. The resulting supersymmetric effective theory satisfies the no-scale condition and consistently combines previous partial results present in the literature. Similar results hold for M-theory warped compactifications on Calabi-Yau fourfolds, whose effective field theory and K\"ahler potential are also discussed.