Over the past 15 years, the numerical conformal bootstrap has become an indispensable
tool for studying strongly coupled conformal field theories in various dimensions. Reviewed …

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 consider four-point correlators in an excited quantum state of a field theory. We
show that, when the theory and state are holographic, a judiciously applied Fourier …

A bstract We study CFTs at finite temperature and derive explicit sum rules for one-point
functions of operators by imposing the KMS condition and we explicitly estimate one-point …

A bstract Using numerical conformal bootstrap technology we perform a non-perturbative
study of the Ising CFT and its spectrum from infinitesimal to finite values of ε= 4–d. Exploiting …

A bstract We use large spin perturbation theory and the Lorentzian inversion formula to
compute order-ϵ corrections to mixed correlators in the O (n) Wilson-Fisher CFT in 4− ϵ …

We study families of semidefinite programs (SDPs) that depend nonlinearly on a small
number of" external" parameters. Such families appear universally in numerical bootstrap …

As a simple lattice model that exhibits a phase transition, the Ising model plays a
fundamental role in statistical and condensed matter physics. Its continuum limit also …

A bstract As a simple lattice model that exhibits a phase transition, the Ising model plays a
fundamental role in statistical and condensed matter physics. The Ising transition is realized …

We advance the multipoint lightcone bootstrap and compute anomalous dimensions of triple-
twist operators at large spin. In contrast to the well-studied double-twist operators, triple-twist …