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 …
The critical O (N) CFT: Methods and conformal data
J Henriksson - Physics Reports, 2023 - Elsevier
Abstract The critical O (N) CFT in spacetime dimensions 2< d< 4 is one of the most important
examples of a conformal field theory, with the Ising CFT at N= 1, 2⩽ d< 4, as a notable …
examples of a conformal field theory, with the Ising CFT at N= 1, 2⩽ d< 4, as a notable …
Uncovering conformal symmetry in the 3D Ising transition: state-operator correspondence from a quantum fuzzy sphere regularization
The 3D Ising transition, the most celebrated and unsolved critical phenomenon in nature,
has long been conjectured to have emergent conformal symmetry, similar to the case of the …
has long been conjectured to have emergent conformal symmetry, similar to the case of the …
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 …
The Gross-Neveu-Yukawa archipelago
A bstract We perform a bootstrap analysis of a mixed system of four-point functions of
bosonic and fermionic operators in parity-preserving 3d CFTs with O (N) global symmetry …
bosonic and fermionic operators in parity-preserving 3d CFTs with O (N) global symmetry …
[HTML][HTML] Universal asymptotics for high energy CFT data
N Benjamin, J Lee, H Ooguri… - Journal of High Energy …, 2024 - Springer
A bstract Equilibrium finite temperature observables of a CFT can be described by a local
effective action for background fields—a “thermal effective action”. This effective action …
effective action for background fields—a “thermal effective action”. This effective action …
[HTML][HTML] The light-ray OPE and conformal colliders
A bstract We derive a nonperturbative, convergent operator product expansion (OPE) for null-
integrated operators on the same null plane in a CFT. The objects appearing in the …
integrated operators on the same null plane in a CFT. The objects appearing in the …
Shocks, superconvergence, and a stringy equivalence principle
A bstract We study propagation of a probe particle through a series of closely situated
gravitational shocks. We argue that in any UV-complete theory of gravity the result does not …
gravitational shocks. We argue that in any UV-complete theory of gravity the result does not …
[HTML][HTML] Weight shifting operators and conformal blocks
D Karateev, P Kravchuk, D Simmons-Duffin - Journal of High Energy …, 2018 - Springer
A bstract We introduce a large class of conformally-covariant differential operators and a
crossing equation that they obey. Together, these tools dramatically simplify calculations …
crossing equation that they obey. Together, these tools dramatically simplify calculations …
The five-point bootstrap
A bstract We study five-point correlation functions of scalar operators in d-dimensional
conformal field theories. We develop a new approach to computing the five-point conformal …
conformal field theories. We develop a new approach to computing the five-point conformal …