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 …

Boundary and defect CFT: open problems and applications

N Andrei, A Bissi, M Buican, J Cardy… - Journal of Physics A …, 2020 - iopscience.iop.org
A review of Boundary and defect conformal field theory: open problems and applications,
following a workshop held at Chicheley Hall, Buckinghamshire, UK, 7–8 Sept. 2017. We …

Carving out OPE space and precise O (2) model critical exponents

SM Chester, W Landry, J Liu, D Poland… - Journal of High Energy …, 2020 - Springer
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 …

The lightcone bootstrap and the spectrum of the 3d Ising CFT

D Simmons-Duffin - Journal of High Energy Physics, 2017 - Springer
We compute numerically the dimensions and OPE coefficients of several operators in the 3d
Ising CFT, and then try to reverse-engineer the solution to crossing symmetry analytically …

Integrability and conformal bootstrap: One dimensional defect conformal field theory

A Cavaglià, N Gromov, J Julius, M Preti - Physical Review D, 2022 - APS
In this paper we study how the exact nonperturbative integrability methods in 4 DN= 4 super-
Yang-Mills can work efficiently together with the numerical conformal bootstrap techniques …

Where is string theory in the space of scattering amplitudes?

A Guerrieri, J Penedones, P Vieira - Physical Review Letters, 2021 - APS
We use the S-matrix bootstrap to carve out the space of unitary, crossing symmetric and
supersymmetric graviton scattering amplitudes in ten dimensions. We focus on the leading …

Harnessing S-duality in = 4 SYM & supergravity as SL(2, ℤ)-averaged strings

S Collier, E Perlmutter - Journal of High Energy Physics, 2022 - Springer
Harnessing S-duality in $$ \mathcal{N} $$ = 4 SYM & supergravity as SL(2, ℤ)-averaged strings
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Gravitational S-matrix from CFT dispersion relations

LF Alday, S Caron-Huot - Journal of High Energy Physics, 2018 - Springer
A bstract We analyse the double-discontinuities of the four-point correlator of the stress-
tensor multiplet in N= 4 SYM at large t'Hooft coupling and at order 1/N 4, as a way to access …

The light-ray OPE and conformal colliders

M Koloğlu, P Kravchuk, D Simmons-Duffin… - Journal of High Energy …, 2021 - Springer
A bstract We derive a nonperturbative, convergent operator product expansion (OPE) for null-
integrated operators on the same null plane in a CFT. The objects appearing in the …

A CFT distance conjecture

E Perlmutter, L Rastelli, C Vafa, I Valenzuela - Journal of High Energy …, 2021 - Springer
A bstract We formulate a series of conjectures relating the geometry of conformal manifolds
to the spectrum of local operators in conformal field theories in d> 2 spacetime dimensions …