Kinetic terms in warped compactifications

Details Kinetic terms in warped compactifications Kinetic terms in warped compactifications

2008-05-23

arxiv.org/abs/0805.3700v2

JHEP 0905:013,2009

Physics

High Energy Physics

High Energy Physics - Theory

24 pages; reference added, typos corrected

Scientific paper

10.1088/1126-6708/2009/05/013

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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