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 …

Carving out OPE space and precise O (2) model critical exponents

SM Chester, W Landry, J Liu, D Poland… - Journal of High Energy …, 2020 - Springer
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 …

The M-theory archipelago

NB Agmon, SM Chester, SS Pufu - Journal of High Energy Physics, 2020 - Springer
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 …

Bootstrap** the long-range Ising model in three dimensions

C Behan - Journal of Physics A: Mathematical and Theoretical, 2019 - iopscience.iop.org
The 3D Ising model and the generalized free scalar of dimension at least 0.75 belong to a
continuous line of nonlocal fixed points, each referred to as a long-range Ising model. They …

Analytic and numerical bootstrap of CFTs with global symmetry in 3D

J Henriksson, SR Kousvos, A Stergiou - SciPost Physics, 2020 - scipost.org
Motivated by applications to critical phenomena and open theoretical questions, we study
conformal field theories with $ O (m)\times O (n) $ global symmetry in $ d= 3$ spacetime …

Simplifying large spin bootstrap in Mellin space

P Dey, K Ghosh, A Sinha - Journal of High Energy Physics, 2018 - Springer
A bstract We set up the conventional conformal bootstrap equations in Mellin space and
analyse the anomalous dimensions and OPE coefficients of large spin double trace …

Bootstrap** the minimal 3D SCFT

A Atanasov, A Hillman, D Poland - Journal of High Energy Physics, 2018 - Springer
A bstract We study the conformal bootstrap constraints for 3D conformal field theories with a
ℤ 2 or parity symmetry, assuming a single relevant scalar operator ϵ that is invariant under …

Numerical conformal bootstrap with analytic functionals and outer approximation

K Ghosh, Z Zheng - Journal of High Energy Physics, 2024 - Springer
A bstract This paper explores the numerical conformal bootstrap in general spacetime
dimensions through the lens of a distinct category of analytic functionals, previously …

autoboot: A generator of bootstrap equations with global symmetry

M Go, Y Tachikawa - Journal of High Energy Physics, 2019 - Springer
A bstract We introduce autoboot, a Mathematica program which automatically generates
mixed correlator bootstrap equations of an arbitrary number of scalar external operators …

Scalar CFTs and their large N limits

J Rong, N Su - Journal of High Energy Physics, 2018 - Springer
A bstract We study scalar conformal field theories whose large N spectrum is fixed by the
operator dimensions of either the Ising model or the Lee-Yang edge singularity. Using the …