New developments in the numerical conformal bootstrap

S Rychkov, N Su - Reviews of Modern Physics, 2024 - APS
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 …

The cosmological bootstrap: weight-shifting operators and scalar seeds

D Baumann, CD Pueyo, A Joyce, H Lee… - Journal of High Energy …, 2020 - Springer
A bstract A key insight of the bootstrap approach to cosmological correlations is the fact that
all correlators of slow-roll inflation can be reduced to a unique building block—the four-point …

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 …

The Gross-Neveu-Yukawa archipelago

RS Erramilli, LV Iliesiu, P Kravchuk, A Liu… - Journal of High Energy …, 2023 - Springer
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 …

Transverse spin in the light-ray OPE

CH Chang, M Koloğlu, P Kravchuk… - Journal of High Energy …, 2022 - Springer
A bstract We study a product of null-integrated local operators\({\mathcal {O}} _1\)
and\({\mathcal {O}} _2\) on the same null plane in a CFT. Such null-integrated operators …

Recursion relations for 5-point conformal blocks

D Poland, V Prilepina - Journal of High Energy Physics, 2021 - Springer
A bstract We consider 5-point functions in conformal field theories in d> 2 dimensions. Using
weight-shifting operators, we derive recursion relations which allow for the computation of …

Gaudin models and multipoint conformal blocks. Part II. Comb channel vertices in 3D and 4D

I Burić, S Lacroix, J Mann, L Quintavalle… - Journal of High Energy …, 2021 - Springer
A bstract It was recently shown that multi-point conformal blocks in higher dimensional
conformal field theory can be considered as joint eigenfunctions for a system of commuting …

Conformal 3-point functions and the Lorentzian OPE in momentum space

M Gillioz - Communications in Mathematical Physics, 2020 - Springer
In conformal field theory in Minkowski momentum space, the 3-point correlation functions of
local operators are completely fixed by symmetry. Using Ward identities together with the …

Helicity basis for three-dimensional conformal field theory

S Caron-Huot, YZ Li - Journal of High Energy Physics, 2021 - Springer
A bstract Three-point correlators of spinning operators admit multiple tensor structures
compatible with conformal symmetry. For conserved currents in three dimensions, we point …

Gaudin models and multipoint conformal blocks III: comb channel coordinates and OPE factorisation

I Burić, S Lacroix, J Mann, L Quintavalle… - Journal of High Energy …, 2022 - Springer
A bstract We continue the exploration of multipoint scalar comb channel blocks for conformal
field theories in 3D and 4D. The central goal here is to construct novel comb channel cross …