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 …

Lining up a positive semi-definite six-point bootstrap

A Antunes, S Harris, A Kaviraj, V Schomerus - Journal of High Energy …, 2024 - Springer
A bstract In this work, we initiate a positive semi-definite numerical bootstrap program for
multi-point correlators. Considering six-point functions of operators on a line, we reformulate …

Finite-size versus finite-temperature effects in the critical long-range O (N) model

D Benedetti, R Gurau, S Harribey, D Lettera - Journal of High Energy …, 2024 - Springer
A bstract In this paper we consider classical and quantum versions of the critical long-range
O (N) model, for which we study finite-size and finite-temperature effects, respectively, at …

Dynamic critical exponent in quantum long-range models

D Benedetti, R Gurau, D Lettera - Physical Review B, 2024 - APS
Quantum long-range models at zero temperature can be described by fractional Lifshitz field
theories, that is, anisotropic models whose actions are short range in time and long range in …

Universality in long-range interacting systems: The effective dimension approach

A Solfanelli, N Defenu - Physical Review E, 2024 - APS
Dimensional correspondences have a long history in critical phenomena. Here, we review
the effective dimension approach, which relates the scaling exponents of a critical system in …

Local/Short-range conformal field theories from long-range perturbation theory

J Rong - arXiv preprint arXiv:2406.17958, 2024 - arxiv.org
We show that by imposing the conformal Wald identity, one can extract conformal data of the
corresponding short-range/local CFT from the long-range perturbation theory. We first apply …

Corrigendum and addendum: Long-range multi-scalar models at three loops

D Benedetti, R Gurau, S Harribey - arXiv preprint arXiv:2411.00805, 2024 - arxiv.org
We correct the computation of one Feynman diagram in the three-loop beta functions for the
long-range quartic multi-scalar model, originally presented in (2020 J. Phys. A: Math. Theor …

[HTML][HTML] Superconformal two-point functions of the Nahm pole defect in N= 4 super-Yang-Mills theory

J Baerman, A Chalabi, C Kristjansen - Physics Letters B, 2024 - Elsevier
We derive a manifestly superconformal expression for the leading-order two-point functions
of all single trace chiral primary operators in 4d N= 4 super-Yang-Mills theory with a co …

Casimir forces in CFT with defects and boundaries

P Brax, S Fichet - Physics, 2024 - mdpi.com
We investigate the quantum forces occurring between the defects and/or boundaries of a
conformal field theory (CFT). We propose to model imperfect defects and boundaries as …

Conformality loss and short-range crossover in long-range conformal field theories

Z Li - arXiv preprint arXiv:2409.19392, 2024 - arxiv.org
We study the conformality loss of theories with long-range interactions. We consider the $ O
(2)\times O (N) $ multiscalar model with coupling $ r^{-d-\delta} $ in $ d= 4-\epsilon …