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 …
The cosmological bootstrap: inflationary correlators from symmetries and singularities
A bstract Scattering amplitudes at weak coupling are highly constrained by Lorentz
invariance, locality and unitarity, and depend on model details only through coupling …
invariance, locality and unitarity, and depend on model details only through coupling …
SO (5) Deconfined Phase Transition under the Fuzzy-Sphere Microscope: Approximate Conformal Symmetry, Pseudo-Criticality, and Operator Spectrum
The deconfined quantum critical point (DQCP) is an example of phase transitions beyond
the Landau symmetry-breaking paradigm that attracts wide interest. However, its nature has …
the Landau symmetry-breaking paradigm that attracts wide interest. However, its nature has …
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 …
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 …
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 …
The conformal bootstrap
D Simmons-Duffin - New Frontiers in Fields and Strings: TASI 2015 …, 2017 - World Scientific
These notes are from courses given at TASI and the Advanced Strings School in summer
2015. Starting from principles of quantum field theory and the assumption of a traceless …
2015. Starting from principles of quantum field theory and the assumption of a traceless …
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+ …