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 …
[HTML][HTML] Selected topics in analytic conformal bootstrap: A guided journey
This review aims to offer a pedagogical introduction to the analytic conformal bootstrap
program via a journey through selected topics. We review analytic methods which include …
program via a journey through selected topics. We review analytic methods which include …
The conformal bootstrap
D Simmons-Duffin - New Frontiers in Fields and Strings: TASI 2015 …, 2017 - World Scientific
These notes are from courses given at TASI and the Advanced Strings School in summer
2015. Starting from principles of quantum field theory and the assumption of a traceless …
2015. Starting from principles of quantum field theory and the assumption of a traceless …
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 …
program solver, designed for the conformal bootstrap. SDPB significantly outperforms less …
= 4 Super-Yang-Mills correlators at strong coupling from string theory and localization
A bstract We compute 1/λ corrections to the four-point functions of half-BPS operators in SU
(N)\(\mathcal {N}\)= 4 super-Yang-Mills theory at large N and large't Hooft coupling λ=\({g} …
(N)\(\mathcal {N}\)= 4 super-Yang-Mills theory at large N and large't Hooft coupling λ=\({g} …
Bootstrapping 3D fermions
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 …
We first introduce an embedding formalism for 3D spinors and compute the conformal blocks …
Bootstrapping the half-BPS line defect
P Liendo, C Meneghelli, V Mitev - Journal of high energy physics, 2018 - Springer
A bstract We use modern bootstrap techniques to study half-BPS line defects in 4d\(\mathcal
{N}= 4\) superconformal theories. Specifically, we consider the 1d CFT with OSP (4∗| 4) …
{N}= 4\) superconformal theories. Specifically, we consider the 1d CFT with OSP (4∗| 4) …
Virasoro conformal blocks and thermality from classical background fields
AL Fitzpatrick, J Kaplan, MT Walters - Journal of High Energy Physics, 2015 - Springer
A bstract We show that in 2d CFTs at large central charge, the coupling of the stress tensor
to heavy operators can be re-absorbed by placing the CFT in a non-trivial background …
to heavy operators can be re-absorbed by placing the CFT in a non-trivial background …
Bootstrapping the O (N) archipelago
A bstract We study 3d CFTs with an O (N) global symmetry using the conformal bootstrap for
a system of mixed correlators. Specifically, we consider all nonvanishing scalar four-point …
a system of mixed correlators. Specifically, we consider all nonvanishing scalar four-point …
Exact correlators on the Wilson loop in SYM: localization, defect CFT, and integrability
A bstract We compute a set of correlation functions of operator insertions on the 1/8 BPS
Wilson loop in\(\mathcal {N}= 4\) SYM by employing supersymmetric localization, OPE and …
Wilson loop in\(\mathcal {N}= 4\) SYM by employing supersymmetric localization, OPE and …