Warping the K\"ahler potential of F-theory/IIB flux compactifications

TL;DR

This paper derives the low-energy K"ahler potential for warped F-theory/IIB flux compactifications, revealing how warping influences kinetic terms and generalizing previous results within a superconformal framework.

Contribution

It provides a comprehensive derivation of the K"ahler potential incorporating warping effects, extending prior partial results and highlighting the dependence on warping in flux compactifications.

Findings

K"ahler potential depends explicitly on warping

Satisfies no-scale condition at leading order

Identifies specific corrections to unwarped K"ahler potential

Abstract

We identify the low-energy K\"ahler potential of warped F-theory/IIB flux compactifications whose light spectrum includes universal, K\"ahler, axionic and mobile D3-brane moduli. The derivation is based on four-dimensional local superconformal symmetry and holomorphy of brane instanton contributions and it reproduces and generalises previous partial results. We compute the resulting kinetic terms, which show their explicit dependence on the warping. The K\"ahler potential satisfies the no-scale condition and produces, at leading order in the large volume expansion, a specific correction to the unwarped K\"ahler potential.