Kaluza-Klein theory for type $II \ b$ supergravity on the warped deformed conifold

TL;DR

This paper develops a Kaluza-Klein framework for type IIB supergravity on a warped deformed conifold, analyzing mode spectra and interactions, and explores implications for cosmic metastable modes post-brane inflation.

Contribution

It introduces a detailed Kaluza-Klein analysis on the warped deformed conifold, including mode spectra, interactions, and effects of background deformations, with applications to cosmology.

Findings

Computed mass spectra and wave functions of warped modes.

Analyzed background deformation effects on mode properties.

Explored thermal evolution of metastable modes after brane inflation.

Abstract

We discuss Kaluza-Klein theory for type $II\ b $ supergravity on the warped deformed conifold using a large radial distance limit of Klebanov-Strassler solution where the radial coordinate separates from angle coordinates for a background asymptotic to $ AdS _5 \times T^{1,1}$ spacetime. The decomposition of field fluctuations on harmonics of the base manifold $T^{1,1}$ and plane waves of $M_4= \dh (AdS _5 )$ is examined for the metric tensor components along $M_4= \dh (AdS _5 )$, the axio-dilaton and the 4-form potential components along $T^{1,1}$. Semi-classical methods are used to compute the mass spectra, wave functions and interactions for a set of modes in low dimensional representations of the isometry group. Deformations of the background solution due to compactification effects are also considered. The information on warped modes properties is utilized to explore the thermal evolution of a cosmic component of metastable modes after exit from brane inflation.