New developments in the numerical conformal bootstrap

S Rychkov, N Su - Reviews of Modern Physics, 2024 - APS
Over the past 15 years, the numerical conformal bootstrap has become an indispensable
tool for studying strongly coupled conformal field theories in various dimensions. Reviewed …

Bootstrap** line defects with O (2) global symmetry

A Gimenez-Grau, E Lauria, P Liendo… - Journal of High Energy …, 2022 - Springer
A bstract We use the numerical bootstrap to study conformal line defects with O (2) global
symmetry. Our results are very general and capture in particular conformal line defects …

Defect fusion and Casimir energy in higher dimensions

O Diatlyk, H Khanchandani, FK Popov… - Journal of High Energy …, 2024 - Springer
A bstract We study the operator algebra of extended conformal defects in more than two
spacetime dimensions. Such algebra structure encodes the combined effect of multiple …

[PDF][PDF] Snowmass white paper: the numerical conformal bootstrap

D Poland, D Simmons-Duffin - ar** bulk locality. Part I: Sum rules for AdS form factors
N Levine, MF Paulos - Journal of High Energy Physics, 2024 - Springer
A bstract The problem of constructing local bulk observables from boundary CFT data is of
paramount importance in holography. In this work, we begin addressing this question from a …

Spontaneous symmetry breaking on surface defects

G Cuomo, S Zhang - Journal of High Energy Physics, 2024 - Springer
A bstract Coleman's theorem states that continuous internal symmetries cannot be
spontaneously broken in two-dimensional quantum field theories (QFTs). In this work we …

Analytic bootstrap for the localized magnetic field

L Bianchi, D Bonomi, E de Sabbata - Journal of High Energy Physics, 2023 - Springer
A bstract We study the two-point function of local operators in the critical O (N) model in the
presence of a magnetic field localized on a line. We use a recently developed conformal …

Conformal field theory with composite defect

S Shimamori - Journal of High Energy Physics, 2024 - Springer
A bstract We explore higher-dimensional conformal field theories (CFTs) in the presence of
a conformal defect that itself hosts another sub-dimensional defect. We refer to this new kind …

A dispersion relation for defect CFT

J Barrat, A Gimenez-Grau, P Liendo - Journal of High Energy Physics, 2023 - Springer
A bstract We present a dispersion relation for defect CFT that reconstructs two-point
functions in the presence of a defect as an integral of a single discontinuity. The main virtue …

Analytic and numerical bootstrap for the long-range Ising model

C Behan, E Lauria, M Nocchi, P van Vliet - Journal of High Energy Physics, 2024 - Springer
A bstract We combine perturbation theory with analytic and numerical bootstrap techniques
to study the critical point of the long-range Ising (LRI) model in two and three dimensions …