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 …

Three-point functions in ABJM and Bethe Ansatz

P Yang, Y Jiang, S Komatsu, JB Wu - Journal of High Energy Physics, 2022 - Springer
A bstract We develop an integrability-based framework to compute structure constants of two
sub-determinant operators and a single-trace non-BPS operator in ABJM theory in the …

Boundary state bootstrap and asymptotic overlaps in AdS/dCFT

T Gombor, Z Bajnok - Journal of High Energy Physics, 2021 - Springer
A bstract We formulate and close the boundary state bootstrap for factorizing K-matrices in
AdS/CFT. We found that there are no boundary degrees of freedom in the boundary bound …

Giant Wilson loops and AdS2/dCFT1

S Giombi, J Jiang, S Komatsu - Journal of High Energy Physics, 2020 - Springer
A bstract The 1/2-BPS Wilson loop in\(\mathcal {N}\)= 4 supersymmetric Yang-Mills theory is
an important and well-studied example of conformal defect. In particular, much work has …

Crosscap states in integrable field theories and spin chains

J Caetano, S Komatsu - Journal of Statistical Physics, 2022 - Springer
We study crosscap states in integrable field theories and spin chains in 1+ 1 dimensions. We
derive an exact formula for overlaps between the crosscap state and any excited state in …

[HTML][HTML] On factorized overlaps: algebraic Bethe Ansatz, twists, and separation of variables

T Gombor, B Pozsgay - Nuclear Physics B, 2021 - Elsevier
We investigate the exact overlaps between eigenstates of integrable spin chains and a
special class of states called “integrable initial/final states”. These states satisfy a special …

Structure constants in supersymmetric Yang-Mills theory and separation of variables

C Bercini, A Homrich, P Vieira - Physical Review D, 2024 - APS
We propose a new framework for computing three-point functions in planar N= 4 super Yang-
Mills theory where these correlators take the form of multiple integrals of separation of …

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 develo** the separation of variables
program for integrable spin chains with\(\mathfrak {gl}(N)\) symmetry. By finding, for the first …

Duality relations for overlaps of integrable boundary states in AdS/dCFT

C Kristjansen, D Müller, K Zarembo - Journal of High Energy Physics, 2021 - Springer
A bstract The encoding of all possible sets of Bethe equations for a spin chain with SU (N| M)
symmetry into a QQ-system calls for an expression of spin chain overlaps entirely in terms of …

Spectral theories and topological strings on del Pezzo geometries

S Moriyama - Journal of High Energy Physics, 2020 - Springer
A bstract Motivated by understanding M2-branes, we propose to reformulate partition
functions of M2-branes by quantum curves. Especially, we focus on the backgrounds of del …