The analytic functional bootstrap. Part I: 1D CFTs and 2D S-matrices

D Mazáč, MF Paulos - Journal of High Energy Physics, 2019 - Springer
A bstract We study a general class of functionals providing an analytic handle on the
conformal bootstrap equations in one dimension. We explicitly identify the extremal …

Nonperturbative Double Copy in Flatland

C Cheung, J Mangan, J Parra-Martinez, N Shah - Physical Review Letters, 2022 - APS
We derive a nonperturbative, Lagrangian-level formulation of the double copy in two
spacetime dimensions. Our results elucidate the field theoretic underpinnings of the double …

Scattering from production in 2d

P Tourkine, A Zhiboedov - Journal of High Energy Physics, 2021 - Springer
A bstract In 1968, Atkinson proved the existence of functions that satisfy all S-matrix axioms
in four spacetime dimensions. His proof is constructive and to our knowledge it is the only …

Adding flavour to the S-matrix bootstrap

L Córdova, P Vieira - Journal of High Energy Physics, 2018 - Springer
A bstract We explore the S-matrices of gapped, unitary, Lorentz invariant quantum field
theories with a global O (N) symmetry in 1+ 1 dimensions. We extremize various cubic and …

Integrability and renormalization under

V Rosenhaus, M Smolkin - Physical Review D, 2020 - APS
Smirnov and Zamolodchikov recently introduced a new class of two-dimensional quantum
field theories, defined through a differential change of any existing theory by the determinant …

S-matrix bootstrap: Supersymmetry, , and symmetry

C Bercini, M Fabri, A Homrich, P Vieira - Physical Review D, 2020 - APS
We consider the 2D S-matrix bootstrap in the presence of supersymmetry, Z 2, and Z 4
symmetry. At the boundary of the allowed S-matrix space we encounter well-known …

On the worldsheet S matrix of the AdS3/CFT2 mixed-flux mirror model

N Baglioni, D Polvara, A Pone, A Sfondrini - Journal of High Energy …, 2024 - Springer
A bstract String on AdS 3× S 3× T 4 backgrounds are known to be classically integrable in
the presence of a mixture of Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz fluxes …

From tree-to loop-simplicity in affine Toda theories II: higher-order poles and cut decompositions

P Dorey, D Polvara - Journal of High Energy Physics, 2023 - Springer
A bstract Recently we showed how, in two-dimensional scalar theories, one-loop threshold
diagrams can be cut into the product of one or more tree-level diagrams [1]. Using this …

On the massless tree-level S-matrix in 2d sigma models

B Hoare, N Levine, AA Tseytlin - Journal of Physics A …, 2019 - iopscience.iop.org
Motivated by the search for new integrable string models, we study the properties of
massless tree-level S-matrices for 2d-models expanded near the trivial vacuum. We find …

Tree level integrability in 2d quantum field theories and affine Toda models

P Dorey, D Polvara - Journal of High Energy Physics, 2022 - Springer
A bstract We investigate the perturbative integrability of massive (1+ 1)-dimensional bosonic
quantum field theories, focusing on the conditions for them to have a purely elastic S-matrix …