The conformal bootstrap: Theory, numerical techniques, and applications

D Poland, S Rychkov, A Vichi - Reviews of Modern Physics, 2019 - APS
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 …

Bootstrapping inflationary correlators in Mellin space

C Sleight, M Taronna - Journal of High Energy Physics, 2020 - Springer
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 …

A Mellin space approach to cosmological correlators

C Sleight - Journal of High Energy Physics, 2020 - Springer
A bstract We propose a Mellin space approach to the evaluation of late-time momentum-
space correlation functions of quantum fields in (d+ 1)-dimensional de Sitter space. The …

Spinning AdS loop diagrams: two point functions

S Giombi, C Sleight, M Taronna - Journal of High Energy Physics, 2018 - Springer
A bstract We develop a systematic approach to evaluating AdS loop amplitudes with
spinning legs based on the spectral (or “split”) representation of bulk-to-bulk propagators …

Propagator identities, holographic conformal blocks, and higher-point AdS diagrams

CB Jepsen, S Parikh - Journal of High Energy Physics, 2019 - Springer
A bstract Conformal blocks are the fundamental, theory-independent building blocks in any
CFT, so it is important to understand their holographic representation in the context of …

A multipoint conformal block chain in d dimensions

S Parikh - Journal of High Energy Physics, 2020 - Springer
A bstract Conformal blocks play a central role in CFTs as the basic, theory-independent
building blocks. However, only limited results are available concerning multipoint blocks …

Holographic dual of the five-point conformal block

S Parikh - Journal of High Energy Physics, 2019 - Springer
A bstract We present the holographic object which computes the five-point global conformal
block in arbitrary dimensions for external and exchanged scalar operators. This object is …

Towards Feynman rules for conformal blocks

S Hoback, S Parikh - Journal of High Energy Physics, 2021 - Springer
A bstract We conjecture a simple set of “Feynman rules” for constructing n-point global
conformal blocks in any channel in d spacetime dimensions, for external and exchanged …

Thermal conformal blocks

Y Gobeil, A Maloney, GS Ng, J Wu - SciPost Physics, 2019 - scipost.org
We study conformal blocks for thermal one-point-functions on the sphere in conformal field
theories of general dimension. These thermal conformal blocks satisfy second order Casimir …

Fermions in geodesic Witten diagrams

M Nishida, K Tamaoka - Journal of High Energy Physics, 2018 - Springer
A bstract We develop the embedding formalism for odd dimensional Dirac spinors in AdS
and apply it to the (geodesic) Witten diagrams including fermionic degrees of freedom. We …