Towards integrability for

A Sfondrini - Journal of Physics A: Mathematical and Theoretical, 2014 - iopscience.iop.org
We review the recent progress towards applying worldsheet integrability techniques to the
${\rm Ad}{{{\rm S}} _ {3}}/{\rm CF}{{{\rm T}} _ {2}} $ correspondence to find its all-loop S matrix …

D-branes and orbit average

P Yang, Y Jiang, S Komatsu, JB Wu - SciPost Physics, 2022 - scipost.org
We study correlation functions of D-branes and a supergravity mode in AdS, which are dual
to structure constants of two sub-determinant operators with large charge and a BPS single …

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 …

Quivers as calculators: counting, correlators and Riemann surfaces

J Pasukonis, S Ramgoolam - Journal of High Energy Physics, 2013 - Springer
A bstract The spectrum of chiral operators in supersymmetric quiver gauge theories is
typically much larger in the free limit, where the superpotential terms vanish. We find that the …

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 …

Protected string spectrum in AdS3/CFT2 from worldsheet integrability

M Baggio, OO Sax, A Sfondrini, B Stefański… - Journal of High Energy …, 2017 - Springer
A bstract We derive the protected closed-string spectra of AdS 3/CFT 2 dual pairs with 16
supercharges at arbitrary values of the string tension and of the three-form fluxes. These …

On Correlation Functions of BPS Operators in 3d Superconformal Theories

P Liendo, C Meneghelli, V Mitev - Communications in mathematical …, 2017 - Springer
We introduce a novel harmonic superspace for 3d N= 6 3 d N= 6 superconformal field
theories that is tailor made for the study of correlation functions of BPS operators. We …

Geometry of massless scattering in integrable superstring

A Fontanella, A Torrielli - Journal of High Energy Physics, 2019 - Springer
A bstract We consider the action of the q-deformed Poincaré superalgebra on the massless
non-relativistic R-matrix in ordinary (undeformed) integrable AdS 2× S 2× T 6 type IIB …

-matrix algebra of the superstring

B Hoare, A Pittelli, A Torrielli - Physical Review D, 2016 - APS
In this paper, we find the Yangian algebra responsible for the integrability of the AdS 2× S 2×
T 6 superstring in the planar limit. We demonstrate the symmetry of the corresponding exact …

Structure constants of heavy operators in ABJM and ABJ theory

G Chen, R de Mello Koch, M Kim, HJR Van Zyl - Physical Review D, 2019 - APS
Efficient and powerful approaches to the computation of correlation functions involving
determinant, subdeterminant, and permanent operators, as well as traces, have recently …