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 …
Light-ray operators in conformal field theory
P Kravchuk, D Simmons-Duffin - Journal of High Energy Physics, 2018 - Springer
A bstract We argue that every CFT contains light-ray operators labeled by a continuous spin
J. When J is a positive integer, light-ray operators become integrals of local operators over a …
J. When J is a positive integer, light-ray operators become integrals of local operators over a …
= 4 Super-Yang-Mills correlators at strong coupling from string theory and localization
A bstract We compute 1/λ corrections to the four-point functions of half-BPS operators in SU
(N)\(\mathcal {N}\)= 4 super-Yang-Mills theory at large N and large't Hooft coupling λ=\({g} …
(N)\(\mathcal {N}\)= 4 super-Yang-Mills theory at large N and large't Hooft coupling λ=\({g} …
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 …
Harmonic analysis and mean field theory
D Karateev, P Kravchuk, D Simmons-Duffin - Journal of High Energy …, 2019 - Springer
A bstract We review some aspects of harmonic analysis for the Euclidean conformal group,
including conformally-invariant pairings, the Plancherel measure, and the shadow transform …
including conformally-invariant pairings, the Plancherel measure, and the shadow transform …
Spinning S-matrix bootstrap in 4d
A Hebbar, D Karateev, J Penedones - Journal of High Energy Physics, 2022 - Springer
A bstract We review unitarity and crossing constraints on scattering amplitudes for particles
with spin in four dimensional quantum field theories. As an application we study two to two …
with spin in four dimensional quantum field theories. As an application we study two to two …
[PDF][PDF] Snowmass White Paper: The Numerical Conformal Bootstrap
D Poland, D Simmons-Duffin - arXiv preprint arXiv:2203.08117, 2022 - arxiv.org
The idea of the conformal bootstrap is to constrain and solve CFTs using physical
consistency conditions like symmetry, unitarity, and causality. By relying on nonperturbative …
consistency conditions like symmetry, unitarity, and causality. By relying on nonperturbative …
Multipoint conformal blocks in the comb channel
V Rosenhaus - Journal of High Energy Physics, 2019 - Springer
A bstract Conformal blocks are the building blocks for correlation functions in conformal field
theories. The four-point function is the most well-studied case. We consider conformal blocks …
theories. The four-point function is the most well-studied case. We consider conformal blocks …
The 3d stress-tensor bootstrap
A bstract We study the conformal bootstrap for 4-point functions of stress tensors in parity-
preserving 3d CFTs. To set up the bootstrap equations, we analyze the constraints of …
preserving 3d CFTs. To set up the bootstrap equations, we analyze the constraints of …
Spinning correlators in = 2 SCFTs: Superspace and AdS amplitudes
A bstract We study four-point functions of spinning operators in the flavor current multiplet in
four dimensional\(\mathcal {N}\)= 2 SCFTs, using superspace techniques. In particular we …
four dimensional\(\mathcal {N}\)= 2 SCFTs, using superspace techniques. In particular we …