Superconformal Yang-Mills Theory Research Articles

Near-extremal correlators and generalized consistent truncation for AdS4|7 × S7|4

We present conjectures for the space-time form and leading large N dependence of extremal and near-extremal correlation functions in the \N=8 superconformal Yang-Mills theory in d=3 as well as in the (0,2) superconformal theory in d=6, using their gravity duals with M-theory on $AdS_4\times \S^7$ and $AdS_7 \times \S^4$ respectively. As a key part of the conjectures, we argue that the bulk couplings associated with extremal and near-extremal field configurations in the corresponding $AdS_4$ and $AdS_7$ gauged supergravities vanish. The vanishing of these couplings constitutes a generalization of the property of consistent truncation of the Kaluza-Klein modes.

On N = 8 supergravity in AdS 5 and N = 4 superconformal Yang-Mills theory

We discuss the spectrum of states of IIB supergravity on AdS 5 × 5 in a manifest SU(2, 2 4 ) invariant setting. The boundary fields are described in terms of N = 4 superconformal Yang-Mills theory and the proposed correspondence between supergravity in AdS 5 and superconformal invariant singleton theory at the boundary is formulated in a N = 4 superfield covariant language.