This review aims to offer a pedagogical introduction to the analytic conformal bootstrap
program via a journey through selected topics. We review analytic methods which include …

We review the holographic correspondence between field theories and string/M theory,
focusing on the relation between compactifications of string/M theory on Anti-de Sitter …

A bstract We present a systematic study of holographic correlators in a vast array of SCFTs
with non-maximal superconformal symmetry. These theories include 4d\(\mathcal {N}\)= 2 …

We study, using the dual AdS description, the vacua of field theories where some of the
gauge symmetry is broken by expectation values of scalar fields. In such vacua, operators …

A bstract We give a detailed account of the methods introduced in [1] to calculate
holographic four-point correlators in IIB supergravity on AdS 5× S 5. Our approach relies …

We revisit the calculation of holographic correlation functions in type-IIB supergravity on AdS
5× S 5. Results for four-point functions simplify drastically when expressed in Mellin space …

We compute the leading-color (planar) three-loop four-point amplitude of N= 4
supersymmetric Yang-Mills theory in 4-2 ϵ dimensions, as a Laurent expansion about ϵ= 0 …

In these lecture notes we first assemble the basic ingredients of supersymmetric gauge
theories (particularly N= 4 super-Yang-Mills theory), supergravity, and superstring theory …

We explore the extent to which a local string theory dynamics in anti-de Sitter space can be
determined from its proposed Conformal Field Theory (CFT) description. Free fields in the …

A bstract We provide dramatic evidence that 'Mellin space'is the natural home for correlation
functions in CFTs with weakly coupled bulk duals. In Mellin space, CFT correlators have …