  As shown in arXiv:hep-th/0405282, the warped deformed conifold has two
bosonic massless modes, a pseudoscalar and a scalar, that are dual to the phase
and the modulus of the baryonic condensates in the cascading gauge theory. We
reconsider the scalar mode sector, mixing fluctuations of the NS-NS 2-form and
the metric, and include non-zero 4-d momentum $k_\mu$. The resulting pair of
coupled equations produce a discrete spectrum of $m_4^2=- k_\mu^2$ which is
interpreted as the spectrum of $J^{PC}= 0^{+-}$ glueballs in the gauge theory.
Similarly, we derive the spectrum of certain pseudoscalar glueballs with
$J^{PC}= 0^{--}$, which originate from the decoupled fluctuations of the RR
2-form. We argue that each of the massive scalar or pseudoscalar modes we find
belongs to a 4-d massive axial vector or vector supermultiplet. We also discuss
our results in the context of a finite length throat embedded into a type IIB
flux compactification.
