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 …

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 …

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

We present enhancements to SDPB, an open source, parallelized, arbitrary precision
semidefinite program solver designed for the conformal bootstrap. The main enhancement is …

A bstract We study the conformal bootstrap for 4-point functions of stress tensors in parity-
preserving 3d CFTs. To set up the bootstrap equations, we analyze the constraints of …

We consider the continuation of free and interacting scalar field theory to noninteger
spacetime dimension d. We find that the correlation functions in these theories are …

A bstract We study the conformal bootstrap for 4-point functions of fermions< ψ i ψ j ψ k ψ ℓ>
in parity-preserving 3d CFTs, where ψ i transforms as a vector under an O (N) global …

A bstract We combine supersymmetric localization results and the numerical conformal
bootstrap technique to study the 3d maximally supersymmetric (\(\mathcal {N}\)= 8) CFT on N …