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 …
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 …
The M-theory archipelago
A bstract We combine supersymmetric localization results and the numerical conformal
bootstrap technique to study the 3d maximally supersymmetric (\(\mathcal {N}\)= 8) CFT on N …
bootstrap technique to study the 3d maximally supersymmetric (\(\mathcal {N}\)= 8) CFT on N …
Bootstrap** the long-range Ising model in three dimensions
C Behan - Journal of Physics A: Mathematical and Theoretical, 2019 - iopscience.iop.org
The 3D Ising model and the generalized free scalar of dimension at least 0.75 belong to a
continuous line of nonlocal fixed points, each referred to as a long-range Ising model. They …
continuous line of nonlocal fixed points, each referred to as a long-range Ising model. They …
Analytic and numerical bootstrap of CFTs with global symmetry in 3D
Motivated by applications to critical phenomena and open theoretical questions, we study
conformal field theories with $ O (m)\times O (n) $ global symmetry in $ d= 3$ spacetime …
conformal field theories with $ O (m)\times O (n) $ global symmetry in $ d= 3$ spacetime …
Simplifying large spin bootstrap in Mellin space
A bstract We set up the conventional conformal bootstrap equations in Mellin space and
analyse the anomalous dimensions and OPE coefficients of large spin double trace …
analyse the anomalous dimensions and OPE coefficients of large spin double trace …
Bootstrap** the minimal 3D SCFT
A bstract We study the conformal bootstrap constraints for 3D conformal field theories with a
ℤ 2 or parity symmetry, assuming a single relevant scalar operator ϵ that is invariant under …
ℤ 2 or parity symmetry, assuming a single relevant scalar operator ϵ that is invariant under …
Numerical conformal bootstrap with analytic functionals and outer approximation
A bstract This paper explores the numerical conformal bootstrap in general spacetime
dimensions through the lens of a distinct category of analytic functionals, previously …
dimensions through the lens of a distinct category of analytic functionals, previously …
autoboot: A generator of bootstrap equations with global symmetry
A bstract We introduce autoboot, a Mathematica program which automatically generates
mixed correlator bootstrap equations of an arbitrary number of scalar external operators …
mixed correlator bootstrap equations of an arbitrary number of scalar external operators …
Scalar CFTs and their large N limits
A bstract We study scalar conformal field theories whose large N spectrum is fixed by the
operator dimensions of either the Ising model or the Lee-Yang edge singularity. Using the …
operator dimensions of either the Ising model or the Lee-Yang edge singularity. Using the …