  We obtain an analytic solution for an axionic non-supersymmetric deformation
of the warped deformed conifold. This allows us to study D-strings in the
infrared limit of non-supersymmetric deformations of the Klebanov-Strassler
background. They are interpreted as axionic strings in the dual field theory.
Following the arguments of [hep-th/0405282], the axion is a massless
pseudo-scalar glueball which is present in the supergravity fluctuation
spectrum and it is interpreted as the Goldstone boson of the spontaneously
broken U(1) baryon number symmetry, being the gauge theory on the baryonic
branch. Besides, we briefly discuss about the Pando Zayas-Tseytlin solution
where the SU(2) \times SU(2) global symmetry is spontaneously broken. This
background has been conjectured to be on the mesonic branch of the gauge
theory.
