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Kinetic terms in warped compactifications

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arxiv 0805.3700 v2 pith:CHVIZ42T submitted 2008-05-23 hep-th

classification hep-th
keywords kinetictermscompactificationsgaugeinnermanifoldproductresults
verification ladder T0 review T1 audit T2 compute T3 formal
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We develop formalism for computing the kinetic terms of 4d fields in string compactifications, particularly with warping. With the help of the Hamiltonian approach, we identify a gauge dependent inner product on the compactification manifold which depends on the warp factor. It is shown that kinetic terms are associated to the minimum value of the inner product over each gauge orbit. We work out the kinetic term for the complex modulus of a deformed conifold with flux, i.e. the Klebanov-Strassler solution embedded in a compact Calabi-Yau manifold. Earlier results of a power-like divergence are confirmed qualitatively (the kinetic term does contain the main effect of warping) but not quantitatively (the correct results differ by an order one coefficient).

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Alice in Warpland: KK modes, Warped Compactifications and the Swampland

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    In codimension-one warped compactifications with exponential potentials, the KK mass decay rate λ_KK is reduced by warping but still satisfies the Sharpened Distance Conjecture precisely when the higher-dimensional po...

  2. Dimensional Reduction and K\"ahler Metric for Metric Moduli in Imaginary Self-Dual Flux

    hep-th 2025-01 conditional novelty 7.0 of 10

    A 10D supergravity reduction derives the 4D moduli space metric for Kähler moduli and, for the first time, for complex structure flat directions in warped type IIB flux compactifications.

  3. Chiral global embedding of Fibre Inflation with $\overline{\rm D3}$ uplift

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    Explicit construction of a chiral global embedding of Fibre Inflation with anti-D3 uplift on an h^{1,1}=4 K3-fibered Calabi-Yau, using magnetised D7-branes, a Whitney brane, and O3-planes at a conifold tip, with viabl...

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