The conformal bootstrap: Theory, numerical techniques, and applications
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 …
of scale invariant critical points. They describe continuous phase transitions in fluids …
New developments in the numerical conformal bootstrap
Over the past 15 years, the numerical conformal bootstrap has become an indispensable
tool for studying strongly coupled conformal field theories in various dimensions. Reviewed …
tool for studying strongly coupled conformal field theories in various dimensions. Reviewed …
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 - ar** 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 …
[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 …
Higher-point conformal blocks in the comb channel
JF Fortin, WJ Ma, W Skiba - Journal of High Energy Physics, 2020 - Springer
A bstract We compute M-point conformal blocks with scalar external and exchange
operators in the so-called comb configuration for any M in any dimension d. Our computation …
operators in the so-called comb configuration for any M in any dimension d. Our computation …
New methods for conformal correlation functions
JF Fortin, W Skiba - Journal of High Energy Physics, 2020 - Springer
A bstract The most general operator product expansion in conformal field theory is obtained
using the embedding space formalism and a new uplift for general quasi-primary operators …
using the embedding space formalism and a new uplift for general quasi-primary operators …
General properties of multiscalar RG Flows in
Fixed points of scalar field theories with quartic interactions in $ d= 4-\varepsilon $
dimensions are considered in full generality. For such theories it is known that there exists a …
dimensions are considered in full generality. For such theories it is known that there exists a …