Gravity Dual of Superconformal Anomaly

The supergravity dual of superconformal anomaly in a four-dimensional supersymmetric gauge theory is investigated. We consider a well-established dual correspondence between the N = 1 SU(N +M) × SU(N) supersymmetric gauge theory with two flavors of matter fields in the bifundamental representation of gauge group and 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 M4 and a six-dimensional conifold C6 with the base T 1,1. The superconformal anomaly originates from fractional branes frozen at the apex of C6. While on the gravity side, the fractional branes deform the AdS5×T 1,1 space-time background and partially break local supersymmetry of type IIB supergravity. We choose the K-S solution as the vacuum configuration for type IIB supergravity and observe the five-dimensional gauged supergravity produced from the spontaneous compactification on the deformed T 1,1. Consequently, we find that the deformation on AdS5 × T 1,1 leads to the spontaneous breaking of supersymmetry in gauged AdS5 supergravity and a super-Higgs mechanism arises. The graviton multiplet dual to the superconformal current of supersymmetric gauge theory becomes massive with the Goldstone multiplet relevant to the fluxes carried by fractional branes. 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.