Conformal field theories have been long known to describe the fascinating universal physics
of scale invariant critical points. They describe continuous phase transitions in fluids …

The conformal bootstrap was proposed in the 1970s as a strategy for calculating the
properties of second-order phase transitions. After spectacular success elucidating two …

These notes are from courses given at TASI and the Advanced Strings School in summer
2015. Starting from principles of quantum field theory and the assumption of a traceless …

A bstract We develop new tools for isolating CFTs using the numerical bootstrap. A “cutting
surface” algorithm for scanning OPE coefficients makes it possible to find islands in high …

A bstract We introduce SDPB: an open-source, parallelized, arbitrary-precision semidefinite
program solver, designed for the conformal bootstrap. SDPB significantly outperforms less …

We compute numerically the dimensions and OPE coefficients of several operators in the 3d
Ising CFT, and then try to reverse-engineer the solution to crossing symmetry analytically …

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 use the S-matrix bootstrap to carve out the space of unitary, crossing symmetric and
supersymmetric graviton scattering amplitudes in ten dimensions. We focus on the leading …

A bstract We compute 1/λ corrections to the four-point functions of half-BPS operators in SU
(N)\(\mathcal {N}\)= 4 super-Yang-Mills theory at large N and large't Hooft coupling λ=\({g} …

A bstract We introduce a large class of conformally-covariant differential operators and a
crossing equation that they obey. Together, these tools dramatically simplify calculations …