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 …

Infinite chiral symmetry in four dimensions

C Beem, M Lemos, P Liendo, W Peelaers… - … in Mathematical Physics, 2015 - Springer
We describe a new correspondence between four-dimensional conformal field theories with
extended supersymmetry and two-dimensional chiral algebras. The meromorphic …

A slow review of the AGT correspondence

B Le Floch - Journal of Physics A: Mathematical and Theoretical, 2022 - iopscience.iop.org
Starting with a gentle approach to the Alday–Gaiotto–Tachikawa (AGT) correspondence
from its 6d origin, these notes provide a wide (albeit shallow) survey of the literature on …

Tensionless string spectra on AdS3

MR Gaberdiel, R Gopakumar - Journal of High Energy Physics, 2018 - Springer
The spectrum of superstrings on AdS3× S3× M 4 with pure NS-NS flux is analysed for the
background where the radius of the AdS space takes the minimal value (k= 1). Both for M 4 …

A CFT distance conjecture

E Perlmutter, L Rastelli, C Vafa, I Valenzuela - Journal of High Energy …, 2021 - Springer
A bstract We formulate a series of conjectures relating the geometry of conformal manifolds
to the spectrum of local operators in conformal field theories in d> 2 spacetime dimensions …

Vertex operator algebras, Higgs branches, and modular differential equations

C Beem, L Rastelli - Journal of High Energy Physics, 2018 - Springer
A bstract Every four-dimensional\(\mathcal {N}= 2\) superconformal field theory comes
equipped with an intricate algebraic invariant, the associated vertex operator algebra. The …

The superconformal bootstrap

C Beem, M Lemos, P Liendo, L Rastelli… - Journal of High Energy …, 2016 - Springer
A bstract In this work we initiate the conformal bootstrap program for\(\mathcal {N}= 2\) super-
conformal field theories in four dimensions. We promote an abstract operator-algebraic …

symmetry in six dimensions

C Beem, L Rastelli, BC van Rees - Journal of High Energy Physics, 2015 - Springer
A bstract Six-dimensional conformal field theories with (2, 0) supersymmetry are shown to
possess a protected sector of operators and observables that are isomorphic to a two …

Schur indices, BPS particles, and Argyres-Douglas theories

C Córdova, SH Shao - Journal of High Energy Physics, 2016 - Springer
A bstract We conjecture a precise relationship between the Schur limit of the superconformal
index of four-dimensional\(\mathcal {N}= 2\) field theories, which counts local operators, and …

The (2, 0) superconformal bootstrap

C Beem, M Lemos, L Rastelli, BC van Rees - Physical Review D, 2016 - APS
We develop the conformal bootstrap program for six-dimensional conformal field theories
with (2, 0) supersymmetry, focusing on the universal four-point function of stress tensor …