Warped modes in flux compactification of type II b supergravity on the conifold

Understand

We examine the Kaluza-Klein theory for warped flux compactifications of type $II\ b $ string theory on a Minkowski spacetime $ M_4$ times a conic Calabi-Yau orientifold $X_6$.

• The region glued along the internal space directions to the bulk of $X_6$ is modeled by the warped undeformed conifold $\calc _6$.
• The resulting classical vacum solution of Klebanov-Tseytlin solution, valid at large radial distances from the conic singularity, describes a spacetime asymptotic to $ AdS_5 $ times the conifold compact base $ T^{1,1}$.
• The metric tensor, axio-dilaton and antisymmetric fields part of the 10-d supergravity multiplet bosonic sector decompose into towers of scalar and tensor fields of fixed mass associated to harmonic modes of $T^{1,1}$ and $M_4$.