[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 …
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
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 …
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 …
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 …
consistency conditions like symmetry, unitarity, and causality. By relying on nonperturbative …
Bootstrapping Heisenberg magnets and their cubic instability
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 …
use a recently developed cutting-surface algorithm to efficiently map out the allowed space …
Analytic and numerical bootstrap for the long-range Ising model
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 …
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 …
bootstrap technique to study the 3d maximally supersymmetric (\(\mathcal {N}\)= 8) CFT on N …
New developments in the numerical conformal bootstrap
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 …
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 …
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 …
transitions. The Landau condition and Lifshitz condition are reviewed, which are necessary …