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 …
Quantum entanglement in condensed matter systems
N Laflorencie - Physics Reports, 2016 - Elsevier
This review focuses on the field of quantum entanglement applied to condensed matter
physics systems with strong correlations, a domain which has rapidly grown over the last …
physics systems with strong correlations, a domain which has rapidly grown over the last …
Analyticity in spin in conformal theories
S Caron-Huot - Journal of High Energy Physics, 2017 - Springer
A bstract Conformal theory correlators are characterized by the spectrum and three-point
functions of local operators. We present a formula which extracts this data as an analytic …
functions of local operators. We present a formula which extracts this data as an analytic …
Deconfined quantum critical points: symmetries and dualities
The deconfined quantum critical point (QCP), separating the Néel and valence bond solid
phases in a 2D antiferromagnet, was proposed as an example of (2+ 1) D criticality …
phases in a 2D antiferromagnet, was proposed as an example of (2+ 1) D criticality …
Precision islands in the Ising and O (N) models
A bstract We make precise determinations of the leading scaling dimensions and operator
product expansion (OPE) coefficients in the 3d Ising, O (2), and O (3) models from the …
product expansion (OPE) coefficients in the 3d Ising, O (2), and O (3) models from the …
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 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 …
Carving out OPE space and precise O (2) model critical exponents
A bstract We develop new tools for isolating CFTs using the numerical bootstrap. A “cutting
surface” algorithm for scanning OPE coefficients makes it possible to find islands in high …
surface” algorithm for scanning OPE coefficients makes it possible to find islands in high …
Solving the 3d Ising Model with the Conformal Bootstrap II. -Minimization and Precise Critical Exponents
We use the conformal bootstrap to perform a precision study of the operator spectrum of the
critical 3d Ising model. We conjecture that the 3d Ising spectrum minimizes the central …
critical 3d Ising model. We conjecture that the 3d Ising spectrum minimizes the central …
A semidefinite program solver for the conformal bootstrap
D Simmons-Duffin - Journal of High Energy Physics, 2015 - Springer
A bstract We introduce SDPB: an open-source, parallelized, arbitrary-precision semidefinite
program solver, designed for the conformal bootstrap. SDPB significantly outperforms less …
program solver, designed for the conformal bootstrap. SDPB significantly outperforms less …