  The supergravity dual of superconformal anomaly in a four-dimensional
supersymmetric gauge theory is investigated. We consider a well-established
dual correspondence between the ${\cal N}=1$ $SU(N+M)\times SU(N)$
supersymmetric gauge theory with two flavors of matter fields in the
bifundamental representation of gauge group and the type IIB superstring in the
space-time background furnished by the Klebanov-Strassler (K-S) solution. The
D-brane configuration for these two dual theories consists of N D3 branes and M
fractional $D3$ branes in the singular space-time composed of a direct product
of M^4 and a six-dimensional conifold ${\cal C}_6$ with the base $T^{1,1}$. The
superconformal anomaly originate from fractional branes frozen at the apex of
${\cal C}_6$. While on the gravity side, the fractional branes deform the
$AdS_5\times T^{1,1}$ space-time background and partially break local
supersymmetry of type IIB supergravity. We find that the deformation on
$AdS_5\times T^{1,1}$ leads to the spontaneous breaking local symmetries in
gauged AdS_5 supergravity and consequently a super-Higgs mechanism arises. We
thus conclude that the super-Higgs mechanism in gauged supergravity is dual to
the superconformal anomaly of supersymmetric gauge theory in terms of
gauge/gravity correspondence.
