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 …

The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral

H Maxfield, GJ Turiaci - Journal of High Energy Physics, 2021 - Springer
A bstract We propose that a class of new topologies, for which there is no classical solution,
should be included in the path integral of three-dimensional pure gravity, and that their …

A Holographic view on physics out of equilibrium

VE Hubeny, M Rangamani - Advances in high energy physics, 2010 - Wiley Online Library
We review the recent developments in applying holographic methods to understand
nonequilibrium physics in strongly coupled field theories. The emphasis will be on …

The analytic bootstrap and AdS superhorizon locality

AL Fitzpatrick, J Kaplan, D Poland… - Journal of High Energy …, 2013 - Springer
A bstract We take an analytic approach to the CFT bootstrap, studying the 4-pt correlators of
d> 2 dimensional CFTs in an Eikonal-type limit, where the conformal cross ratios satisfy …

Bootstrapping mixed correlators in the 3D Ising model

F Kos, D Poland, D Simmons-Duffin - Journal of High Energy Physics, 2014 - Springer
A bstract We study the conformal bootstrap for systems of correlators involving nonidentical
operators. The constraints of crossing symmetry and unitarity for such mixed correlators can …

Snowmass white paper: UV constraints on IR physics

C de Rham, S Kundu, M Reece, AJ Tolley… - arXiv preprint arXiv …, 2022 - arxiv.org
Fundamental principles of local quantum field theory or of quantum gravity can enforce
consistency requirements on the space of consistent low-energy effective field theories. We …

Spinning conformal correlators

MS Costa, J Penedones, D Poland… - Journal of High Energy …, 2011 - Springer
A bstract We develop the embedding formalism for conformal field theories, aimed at doing
computations with symmetric traceless operators of arbitrary spin. We use an indexfree …

Writing CFT correlation functions as AdS scattering amplitudes

J Penedones - Journal of High Energy Physics, 2011 - Springer
We explore the Mellin representation of conformal correlation functions recently proposed by
Mack. Examples in the AdS/CFT context reinforce the analogy between Mellin amplitudes …

An infalling observer in AdS/CFT

K Papadodimas, S Raju - Journal of High Energy Physics, 2013 - Springer
A bstract We describe the experience of an observer falling into a black hole using the
AdS/CFT correspondence. In order to do this, we reconstruct the local bulk operators …

Witten diagrams revisited: the AdS geometry of conformal blocks

E Hijano, P Kraus, E Perlmutter, R Snively - Journal of High Energy …, 2016 - Springer
A bstract We develop a new method for decomposing Witten diagrams into conformal
blocks. The steps involved are elementary, requiring no explicit integration, and operate …