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On the 4D effective theory in warped compactifications with fluxes and branes

Kazuya Koyama·Kayoko Koyama·Frederico Arroja
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Abstract

We present a systematic way to derive the four-dimensional effective theories for warped compactifications with fluxes and branes in the ten-dimensional type IIB supergravity. The ten-dimensional equations of motion are solved using the gradient expansion method and the effective four-dimensional equations of motions are derived by imposing the consistency condition that the total derivative terms with respect to the six-dimensional internal coordinates vanish when integrated over the internal manifold. By solving the effective four-dimensional equations, we can find the gravitational backreaction to the warped geometry due to the dynamics of moduli fields, branes and fluxes.

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Kazuya Koyama, Kayoko Koyama, Frederico Arroja. 2006-07-20. On the 4D effective theory in warped compactifications with fluxes and branes. https://doi.org/10.1016/j.physletb.2006.08.029

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