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.
Highlights
Background structureLet us review the structure of warped F-theory/IIB compactifications, by using the type IIB description of these vacua [3,4,5,6]
We identify the low-energy Kahler potential of warped F-theory/IIB flux compactifications whose light spectrum includes universal, Kahler, 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
Summary
Let us review the structure of warped F-theory/IIB compactifications, by using the type IIB description of these vacua [3,4,5,6]. These vacua have an Einstein frame metric of the form ds210 = e2Dds2R1,3 + e−2Dds2X (2.1). Where ds2R1,3 is the flat Minkowski four-dimensional metric, the internal space X is Kahler and the warping e2D is generically non-constant along the internal directions. The R-R F5 is non-trivial and its form is directly linked to the warping by. Where the volume form dvolX is computed by using the internal Kahler metric ds2X .2.
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