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 …

More on Supersymmetric and 2d Analogs of the SYK Model

J Murugan, D Stanford, E Witten - Journal of High Energy Physics, 2017 - Springer
A bstract In this paper, we explore supersymmetric and 2d analogs of the SYK model. We
begin by working out a basis of (super) conformal eigenfunctions appropriate for expanding …

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 …

Superconformal surfaces in four dimensions

L Bianchi, M Lemos - Journal of High Energy Physics, 2020 - Springer
A bstract We study the constraints of superconformal symmetry on codimension two defects
in four-dimensional superconformal field theories. We show that the one-point function of the …

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 …

Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT1

L Bianchi, G Bliard, V Forini, L Griguolo… - Journal of High Energy …, 2020 - Springer
A bstract We study local operator insertions on 1/2-BPS line defects in ABJM theory.
Specifically, we consider a class of four-point correlators in the CFT 1 with SU (1, 1| 3) super …