[HTML][HTML] Weizmann lectures on the numerical conformal bootstrap

SM Chester - Physics Reports, 2023 - Elsevier
These lectures were given at the Weizmann Institute in the spring of 2019. They are
intended to familiarize students with the nuts and bolts of the numerical bootstrap as …

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 …

Scaling the semidefinite program solver SDPB

W Landry, D Simmons-Duffin - arXiv preprint arXiv:1909.09745, 2019 - arxiv.org
We present enhancements to SDPB, an open source, parallelized, arbitrary precision
semidefinite program solver designed for the conformal bootstrap. The main enhancement is …

[PDF][PDF] Snowmass White Paper: The Numerical Conformal Bootstrap

D Poland, D Simmons-Duffin - arXiv preprint arXiv:2203.08117, 2022 - arxiv.org
The idea of the conformal bootstrap is to constrain and solve CFTs using physical
consistency conditions like symmetry, unitarity, and causality. By relying on nonperturbative …

Bootstrapping Heisenberg magnets and their cubic instability

SM Chester, W Landry, J Liu, D Poland… - Physical Review D, 2021 - APS
We study the critical O (3) model using the numerical conformal bootstrap. In particular, we
use a recently developed cutting-surface algorithm to efficiently map out the allowed space …

Analytic and numerical bootstrap for the long-range Ising model

C Behan, E Lauria, M Nocchi, P van Vliet - Journal of High Energy Physics, 2024 - Springer
A bstract We combine perturbation theory with analytic and numerical bootstrap techniques
to study the critical point of the long-range Ising (LRI) model in two and three dimensions …

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 …

New developments in the numerical conformal bootstrap

S Rychkov, N Su - arXiv preprint arXiv:2311.15844, 2023 - arxiv.org
The numerical conformal bootstrap has become in the last 15 years an indispensable tool
for studying strongly coupled CFTs in various dimensions. Here we review the main …

Cubic fixed point in three dimensions: Monte Carlo simulations of the model on the simple cubic lattice

M Hasenbusch - Physical Review B, 2023 - APS
We study the cubic fixed point for N= 3 and 4 by using finite-size scaling applied to data
obtained from Monte Carlo simulations of the N-component ϕ 4 model on the simple cubic …

Scalar CFTs from structural phase transitions

J Rong - International Journal of Theoretical Physics, 2024 - Springer
We discuss scalar conformal field theories (CFTs) that can be realized in structural phase
transitions. The Landau condition and Lifshitz condition are reviewed, which are necessary …