SUPERGRAVITY DUAL OF THE SUPERCONFORMAL ANOMALY

The supergravity dual of the superconformal anomaly multiplet in a four-dimensional supersymmetric gauge theory is investigated. We consider a well-established dual correspondence between an N = 1 SU(N + M) x SU(N) supersymmetric gauge theory and type IIB superstring in a space-time background described by the Klebanov-Strassler solution. Based on the fact that fractional D3-branes lead to superconformal anomaly on the field theory side and in the meantime deform AdS(5) x T-1,T-1 space-time background on the gravity side, we observe the five-dimensional gauged supergravity yielded from the spontaneous compactification on the deformed T-1,T-1, and find that the spontaneous breaking of local symmetries and the consequent super-Higgs effect in the gauged AdS(5) supergravity should be the dual of the superconformal anomaly of the four-dimensional supersymmetric gauge theory.