Warping the Kähler potential of F-theory/IIB flux compactifications

TL;DR

The paper derives the low-energy Kähler potential for warped F-theory/IIB flux compactifications including universal, Kähler, axionic and mobile D3-brane moduli by exploiting four-dimensional local superconformal symmetry and holomorphy of brane instantons. It shows that the Kähler potential is governed by a warped-volume functional, yielding an implicit but computable Kähler potential K = -3 log( hat a ) (up to constants), with the universal modulus hat a encoding warping and flux effects. The authors explicitly compute warped kinetic terms and demonstrate the no-scale structure K^{AȦ} K_A K_{Ȧ} = 3, providing consistency checks and a clear framework to include axions and Wilson lines. They also analyze large-modulus limits and give explicit forms for h^{1,1}=1 models, including D3-brane positions, axions, and Wilson lines, highlighting how warping and backreaction shift the conventional unwarped Kähler potential and its kinetic terms. The results give a concrete, holomorphicly consistent description of moduli stabilization and effective dynamics in warped flux compactifications, with explicit formulas for the corrected Kähler potential and its metric.

Abstract

We identify the low-energy Kähler potential of warped F-theory/IIB flux compactifications whose light spectrum includes universal, Kähler, 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 Kähler potential satisfies the no-scale condition and produces, at leading order in the large volume expansion, a specific correction to the unwarped Kähler potential.