The conformal bootstrap: Theory, numerical techniques, and applications

D Poland, S Rychkov, A Vichi - Reviews of Modern Physics, 2019 - APS
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 …

A semidefinite program solver for the conformal bootstrap

D Simmons-Duffin - Journal of High Energy Physics, 2015 - Springer
A bstract We introduce SDPB: an open-source, parallelized, arbitrary-precision semidefinite
program solver, designed for the conformal bootstrap. SDPB significantly outperforms less …

Bootstrapping mixed correlators in the 3D Ising model

F Kos, D Poland, D Simmons-Duffin - Journal of High Energy Physics, 2014 - Springer
A bstract We study the conformal bootstrap for systems of correlators involving nonidentical
operators. The constraints of crossing symmetry and unitarity for such mixed correlators can …

The superconformal bootstrap

C Beem, M Lemos, P Liendo, L Rastelli… - Journal of High Energy …, 2016 - Springer
A bstract In this work we initiate the conformal bootstrap program for\(\mathcal {N}= 2\) super-
conformal field theories in four dimensions. We promote an abstract operator-algebraic …

Bootstrapping 3D fermions

L Iliesiu, F Kos, D Poland, SS Pufu… - Journal of High Energy …, 2016 - Springer
A bstract We study the conformal bootstrap for a 4-point function of fermions< ψψψψ> in 3D.
We first introduce an embedding formalism for 3D spinors and compute the conformal blocks …

The (2, 0) superconformal bootstrap

C Beem, M Lemos, L Rastelli, BC van Rees - Physical Review D, 2016 - APS
We develop the conformal bootstrap program for six-dimensional conformal field theories
with (2, 0) supersymmetry, focusing on the universal four-point function of stress tensor …

The-expansion from conformal field theory

S Rychkov, ZM Tan - Journal of Physics A: Mathematical and …, 2015 - iopscience.iop.org
Conformal multiplets of φ and 3 φ recombine at the Wilson–Fisher fixed point, as a
consequence of the equations of motion. Using this fact and other constraints from conformal …

A proof of the conformal collider bounds

DM Hofman, D Li, D Meltzer, D Poland… - Journal of High Energy …, 2016 - Springer
A bstract In this paper, we prove that the “conformal collider bounds” originally proposed in
[1] hold for any unitary parity-preserving conformal field theory (CFT) with a unique stress …

Bootstrapping superconformal theories

M Lemos, P Liendo, C Meneghelli, V Mitev - Journal of High Energy …, 2017 - Springer
A bstract We initiate the bootstrap program for\(\mathcal {N}= 3\) superconformal field
theories (SCFTs) in four dimensions. The problem is considered from two fronts: the …

Bootstrapping SCFTs with four supercharges

N Bobev, S El-Showk, D Mazáč, MF Paulos - Journal of High Energy …, 2015 - Springer
A bstract We study the constraints imposed by superconformal symmetry, crossing
symmetry, and unitarity for theories with four supercharges in spacetime dimension 2≤ d≤ …