[HTML][HTML] Quantum toroidal algebras and solvable structures in gauge/string theory
This is a review article on the quantum toroidal algebras, focusing on their roles in various
solvable structures of 2d conformal field theory, supersymmetric gauge theory, and string …
solvable structures of 2d conformal field theory, supersymmetric gauge theory, and string …
A slow review of the AGT correspondence
B Le Floch - Journal of Physics A: Mathematical and Theoretical, 2022 - iopscience.iop.org
Starting with a gentle approach to the Alday–Gaiotto–Tachikawa (AGT) correspondence
from its 6d origin, these notes provide a wide (albeit shallow) survey of the literature on …
from its 6d origin, these notes provide a wide (albeit shallow) survey of the literature on …
-symmetry, topological vertex and affine Yangian
T Procházka - Journal of High Energy Physics, 2016 - Springer
A bstract We discuss the representation theory of the non-linear chiral algebra\({\mathcal
{W}} _ {1+\infty}\) of Gaberdiel and Gopakumar and its connection to the Yangian …
{W}} _ {1+\infty}\) of Gaberdiel and Gopakumar and its connection to the Yangian …
Quiver Yangian from crystal melting
W Li, M Yamazaki - Journal of High Energy Physics, 2020 - Springer
A bstract We find a new infinite class of infinite-dimensional algebras acting on BPS states
for non-compact toric Calabi-Yau threefolds. In Type IIA superstring compactification on a …
for non-compact toric Calabi-Yau threefolds. In Type IIA superstring compactification on a …
Quiver Yangian and supersymmetric quantum mechanics
D Galakhov, M Yamazaki - Communications in Mathematical Physics, 2022 - Springer
The statistical model of crystal melting represents BPS configurations of D-branes on a toric
Calabi–Yau three-fold. Recently it has been noticed that an infinite-dimensional algebra, the …
Calabi–Yau three-fold. Recently it has been noticed that an infinite-dimensional algebra, the …
Explicit examples of DIM constraints for network matrix models
A bstract Dotsenko-Fateev and Chern-Simons matrix models, which describe Nekrasov
functions for SYM theories in different dimensions, are all incorporated into network matrix …
functions for SYM theories in different dimensions, are all incorporated into network matrix …
Webs of W-algebras
T Procházka, M Rapčák - Journal of High Energy Physics, 2018 - Springer
A bstract We associate vertex operator algebras to (p, q)-webs of interfaces in the
topologically twisted\(\mathcal {N}= 4\) super Yang-Mills theory. Y-algebras associated to …
topologically twisted\(\mathcal {N}= 4\) super Yang-Mills theory. Y-algebras associated to …
-algebra modules, free fields, and Gukov-Witten defects
T Procházka, M Rapčák - Journal of High Energy Physics, 2019 - Springer
A bstract We study the structure of modules of corner vertex operator algebras arrising at
junctions of interfaces in\(\mathcal {N}= 4\) SYM. In most of the paper, we concentrate on …
junctions of interfaces in\(\mathcal {N}= 4\) SYM. In most of the paper, we concentrate on …
(p, q)-webs of DIM representations, 5d instanton partition functions and qq-characters
JE Bourgine, M Fukuda, K Harada, Y Matsuo… - Journal of High Energy …, 2017 - Springer
A bstract Instanton partition functions of\(\mathcal {N}= 1\) 5d Super Yang-Mills reduced on S
1 can be engineered in type IIB string theory from the (p, q)-branes web diagram. To this …
1 can be engineered in type IIB string theory from the (p, q)-branes web diagram. To this …
Higher spins and Yangian symmetries
A bstract The relation between the bosonic higher spin\({\mathcal {W}} _ {\infty}\left
[\lambda\right]\) algebra, the affine Yangian of\(\mathfrak {g}{\mathfrak {l}} _1\), and the SH c …
[\lambda\right]\) algebra, the affine Yangian of\(\mathfrak {g}{\mathfrak {l}} _1\), and the SH c …