Snowmass white paper: the analytic conformal bootstrap

T Hartman, D Mazac, D Simmons-Duffin… - arxiv preprint arxiv …, 2022 - arxiv.org
The analytic conformal bootstrap is an array of techniques to characterize, constrain, and
solve strongly interacting quantum field theories using symmetries, causality, unitarity, and …

20′ five-point function from AdS5× S5 supergravity

V Gonçalves, R Pereira, X Zhou - Journal of High Energy Physics, 2019 - Springer
A bstract We develop new techniques to compute five-point correlation functions from IIB
supergravity on AdS5× S 5. Our methods rely entirely on symmetry and general con-sistency …

Unmixing the Wilson line defect CFT. Part I. Spectrum and kinematics

P Ferrero, C Meneghelli - Journal of High Energy Physics, 2024 - Springer
A bstract This is the first of a series of two papers in which we study the one-dimensional
defect CFT defined by insertions of local operators along a\(\frac {1}{2}\)-BPS Wilson line …

Unitarity methods in AdS/CFT

D Meltzer, E Perlmutter, A Sivaramakrishnan - Journal of High Energy …, 2020 - Springer
A bstract We develop a systematic unitarity method for loop-level AdS scattering amplitudes,
dual to non-planar CFT correlators, from both bulk and boundary perspectives. We identify …

Light-cone bootstrap of higher point functions and Wilson loop duality

C Bercini, V Gonçalves, P Vieira - Physical Review Letters, 2021 - APS
We initiate an exploration of the conformal bootstrap for n> 4 point correlation functions.
Here we bootstrap correlation functions of the lightest scalar gauge invariant operators in …

The five-point bootstrap

D Poland, V Prilepina, P Tadić - Journal of High Energy Physics, 2023 - Springer
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 …

Lightcone bootstrap at higher points

A Antunes, MS Costa, V Gonçalves, JV Boas - Journal of High Energy …, 2022 - Springer
A bstract Higher-point functions of scalar operators are a rich observable in CFTs, as they
contain OPE data involving multiple spinning operators. We derive the lightcone blocks for …

Holography and Regge phases with U (1) charge

G Fardelli, AL Fitzpatrick, W Li - Journal of High Energy Physics, 2024 - Springer
A bstract We use holography to study the large spin J limit of the spectrum of low energy
states with charge Q under a U (1) conserved current in CFTs in d> 2 dimensions, with a …

Gaudin models and multipoint conformal blocks: general theory

I Burić, S Lacroix, JA Mann, L Quintavalle… - Journal of High Energy …, 2021 - Springer
A bstract The construction of conformal blocks for the analysis of multipoint correlation
functions with N> 4 local field insertions is an important open problem in higher dimensional …

The S-matrix bootstrap IV: multiple amplitudes

A Homrich, J Penedones, J Toledo… - Journal of High Energy …, 2019 - Springer
A bstract We explore the space of consistent three-particle couplings in ℤ 2-symmetric two-
dimensional QFTs using two first-principles approaches. Our first approach relies solely on …