[HTML][HTML] Bootstrability in defect CFT: integrated correlators and sharper bounds

A Cavaglià, N Gromov, J Julius, M Preti - Journal of High Energy Physics, 2022 - Springer
A bstract We continue to develop Bootstrability—a method merging Integrability and
Conformal Bootstrap to extract CFT data in integrable conformal gauge theories such …

A review of the AdS/CFT quantum spectral curve

F Levkovich-Maslyuk - Journal of Physics A: Mathematical and …, 2020 - iopscience.iop.org
We give an introduction to the Quantum Spectral Curve in AdS/CFT. This is an integrability-
based framework which provides the exact spectrum of planar super Yang–Mills theory (and …

Separation of variables in AdS/CFT: functional approach for the fishnet CFT

A Cavaglià, N Gromov, F Levkovich-Maslyuk - Journal of High Energy …, 2021 - Springer
A bstract The major simplification in a number of quantum integrable systems is the
existence of special coordinates in which the eigenstates take a factorised form. Despite …

Exactly solvable magnet of conformal spins in four dimensions

S Derkachov, E Olivucci - Physical Review Letters, 2020 - APS
We provide the eigenfunctions for a quantum chain of N conformal spins with nearest-
neighbor interaction and open boundary conditions in the irreducible representation of SO …

Exactly solvable single-trace four point correlators in χCFT4

S Derkachov, E Olivucci - Journal of High Energy Physics, 2021 - Springer
A bstract In this paper we study a wide class of planar single-trace four point correlators in
the chiral conformal field theory (χCFT 4) arising as a double scaling limit of the γ …

Thermodynamic Bethe ansatz for biscalar conformal field theories in any dimension

B Basso, G Ferrando, V Kazakov, D Zhong - Physical Review Letters, 2020 - APS
We present the TBA equations for the exact spectrum of multi-magnon local operators in the
D-dimensional bi-scalar fishnet CFT. The mixing matrix of such operators is given in terms of …

[HTML][HTML] Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT

M De Leeuw, C Paletta, A Pribytok, AL Retore… - Journal of High Energy …, 2021 - Springer
A bstract In this paper we first demonstrate explicitly that the new models of integrable
nearest-neighbour Hamiltonians recently introduced in PRL 125 (2020) 031604 [36] satisfy …

Determinant form of correlators in high rank integrable spin chains via separation of variables

N Gromov, F Levkovich-Maslyuk, P Ryan - Journal of High Energy Physics, 2021 - Springer
A bstract In this paper we take further steps towards developing the separation of variables
program for integrable spin chains with\(\mathfrak {gl}(N)\) symmetry. By finding, for the first …

Separation of Variables for Rational Spin Chains in Any Compact Representation, via Fusion, Embedding Morphism and Bäcklund Flow

P Ryan, D Volin - Communications in Mathematical Physics, 2021 - Springer
We propose a way to separate variables in a rational integrable gl (n) gl (n) spin chain with
an arbitrary finite-dimensional irreducible representation at each site and with generic …

Mirror channel eigenvectors of the d-dimensional fishnets

S Derkachov, G Ferrando, E Olivucci - Journal of High Energy Physics, 2021 - Springer
A bstract We present a basis of eigenvectors for the graph building operators acting along
the mirror channel of planar fishnet Feynman integrals in d-dimensions. The eigenvectors of …