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 …

Half BPS correlators in $\mathcal {N}= 4$ super Yang–Mills theory are key quantities both in
the AdS/CFT correspondence as well as in scattering amplitudes research. They are dual at …

A bstract We continue to develop Bootstrability—a method merging Integrability and
Conformal Bootstrap to extract CFT data in integrable conformal gauge theories such …

In this paper we study how the exact nonperturbative integrability methods in 4 DN= 4 super-
Yang-Mills can work efficiently together with the numerical conformal bootstrap techniques …

The Wilson loop operator in the U (N) k× U (N)-k Aharony-Bergman-Jafferis-Maldacena
theory at large N and fixed level k has a dual description in terms of a wrapped M2-brane in …

A bstract Quantum field theories in AdS generate conformal correlation functions on the
boundary, and in the limit where AdS is nearly flat one should be able to extract an S-matrix …

A bstract We study a general class of functionals providing an analytic handle on the
conformal bootstrap equations in one dimension. We explicitly identify the extremal …

A bstract We use modern bootstrap techniques to study half-BPS line defects in 4d\(\mathcal
{N}= 4\) superconformal theories. Specifically, we consider the 1d CFT with OSP (4∗| 4) …

We study the conformal bootstrap of 1D CFTs on the straight Maldacena–Wilson line in 4D
N= 4 super-Yang–Mills theory. We introduce an improved truncation scheme with an “OPE …

A bstract We compute a set of correlation functions of operator insertions on the 1/8 BPS
Wilson loop in\(\mathcal {N}= 4\) SYM by employing supersymmetric localization, OPE and …