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 …
Celestial holography: An asymptotic symmetry perspective
L Donnay - Physics Reports, 2024 - Elsevier
We review the role that infinite-dimensional symmetries arising at the boundary of
asymptotically flat spacetimes play in the context of the celestial holography program. Once …
asymptotically flat spacetimes play in the context of the celestial holography program. Once …
Snowmass white paper: the cosmological bootstrap
This white paper summarizes recent progress in the cosmological bootstrap, an approach to
the study of the statistics of primordial fluctuations from consistency with unitarity, locality and …
the study of the statistics of primordial fluctuations from consistency with unitarity, locality and …
From dS to AdS and back
A bstract We describe in more detail the general relation uncovered in our previous work
between boundary correlators in de Sitter (dS) and in Euclidean anti-de Sitter (EAdS) space …
between boundary correlators in de Sitter (dS) and in Euclidean anti-de Sitter (EAdS) space …
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 …
The cosmological bootstrap: weight-shifting operators and scalar seeds
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 …
all correlators of slow-roll inflation can be reduced to a unique building block—the four-point …
Flat space amplitudes and conformal symmetry of the celestial sphere
The four-dimensional (4D) Lorentz group SL (2, C) acts as the two-dimensional (2D) global
conformal group on the celestial sphere at infinity where asymptotic 4D scattering states are …
conformal group on the celestial sphere at infinity where asymptotic 4D scattering states are …
Conformal basis for flat space amplitudes
S Pasterski, SH Shao - Physical Review D, 2017 - APS
We study solutions of the Klein-Gordon, Maxwell, and linearized Einstein equations in R 1,
d+ 1 that transform as d-dimensional conformal primaries under the Lorentz group SO (1, d+ …
d+ 1 that transform as d-dimensional conformal primaries under the Lorentz group SO (1, d+ …
The cosmological bootstrap: spinning correlators from symmetries and factorization
We extend the cosmological bootstrap to correlators involving massless particles with spin.
In de Sitter space, these correlators are constrained both by symmetries and by locality. In …
In de Sitter space, these correlators are constrained both by symmetries and by locality. In …
Bootstrapping inflationary correlators in Mellin space
A bstract We develop a Mellin space approach to boundary correlation functions in anti-de
Sitter (AdS) and de Sitter (dS) spaces. Using the Mellin-Barnes representation of correlators …
Sitter (AdS) and de Sitter (dS) spaces. Using the Mellin-Barnes representation of correlators …