In this review we study quantum field theories and conformal field theories with global
symmetries in the limit of large charge for some of the generators of the symmetry group. At …

Starting with a gentle approach to the Alday–Gaiotto–Tachikawa (AGT) correspondence
from its 6d origin, these notes provide a wide (albeit shallow) survey of the literature on …

A bstract We consider line defects with large quantum numbers in conformal field theories.
First, we consider spin impurities, both for a free scalar triplet and in the Wilson-Fisher O (3) …

A bstract In four-dimensional\(\mathcal {N}\)= 4 super Yang-Mills theory with gauge group
SU (N), we present a closed-form solution for a family of integrated four-point functions …

A bstract We recently proved that, when integrating out the spacetime dependence with a
certain integration measure, four-point correlators\(\left\langle {\mathcal {O}} _2 {\mathcal …

A bstract We perform a systematic study of integrated four-point functions of half-BPS
operators in four-dimensional\(\mathcal {N}\)= 4 super Yang-Mills theory with gauge group …

A bstract In recent years it has been shown that strongly coupled systems become
analytically tractable in the regime of large quantum numbers, such as large spin or large …

A bstract We study the correlation functions of Coulomb branch operators of four-
dimensional\(\mathcal {N}\)= 2 Superconformal Field Theories (SCFTs). We focus on rank …

A bstract The planar integrability of\(\mathcal {N}\)= 4 super-Yang-Mills (SYM) is the
cornerstone for numerous exact observables. We show that the large charge sector of the …

A bstract We study symmetry-breaking line defects in the Wilson-Fisher theory with O (2N+
1) global symmetry near four dimensions and symmetry-preserving surface defects in a …