[HTML][HTML] Quantum toroidal algebras and solvable structures in gauge/string theory

Y Matsuo, S Nawata, G Noshita, RD Zhu - Physics Reports, 2024 - Elsevier
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 …

Freezing and BPS jum**

SS Kim, X Li, S Nawata, F Yagi - Journal of High Energy Physics, 2024 - Springer
A bstract We report a novel BPS jum** phenomenon of 5d\(\mathcal {N}\)= 1
supersymmetric gauge theories whose brane configuration is equipped with an O7-plane …

Twisted elliptic genera

K Lee, K Sun, X Wang - Journal of High Energy Physics, 2024 - Springer
A bstract We study the twisted elliptic genera of 2d (0, 4) SCFTs associated with the BPS
strings in the twisted circle compactification of 6d rank-one (1, 0) SCFTs. Such objects can …

DE-type little strings from glued brane webs

XY Wei, Y Sugimoto, F Yagi, SS Kim - Journal of High Energy Physics, 2023 - Springer
A bstract We propose brane web configurations for D-type and E-type\(\mathcal {N}\)=(1, 0)
little string theories based on a trivalent or quadrivalent gluing of 5-brane web diagrams. Tri …

Refined topological vertex with ON-planes

SS Kim, XY Wei - Journal of High Energy Physics, 2022 - Springer
A bstract We propose refined topological vertex formalism for 5-brane systems with ON-
planes by introducing a new vertex associated with reflection over an ON-plane, which gives …

New dimer integrable systems and defects in five dimensional gauge theory

N Lee - Journal of High Energy Physics, 2024 - Springer
A bstract We study the relation between the quantum integrable systems derived from the
dimer graphs and five dimensional\(\mathcal {N}\)= 1 supersymmetric gauge theories on S …

Toda equations for surface defects in SYM and instanton counting for classical Lie groups

G Bonelli, F Globlek, A Tanzini - arxiv preprint arxiv:2206.13212, 2022 - arxiv.org
The partition function of $\mathcal {N}= 2$ super Yang-Mills theories with arbitrary simple
gauge group coupled to a self-dual $\Omega $-background is shown to be fully determined …

Orthosymplectic superinstanton counting and brane dynamics

T Kimura, Y Shao - Letters in Mathematical Physics, 2023 - Springer
We extend the study of superinstantons presented in (Kimura and Pestun in superinstanton
counting and localization, 2019) to include orthosymplectic supergroup gauge theories, B n …

ABCD of qq-characters

S Nawata, K Zhang, RD Zhu - Journal of High Energy Physics, 2023 - Springer
A bstract The qq-characters are powerful tools to reveal symmetries and integrabilities of
Seiberg-Witten theories. The goal of this paper is to provide analytic expressions of qq …

Instantons on Young diagrams with matters

Y Chen, J Jiang, S Nawata, Y Shao - Journal of High Energy Physics, 2023 - Springer
A bstract We present the unrefined instanton partition functions of various 5d gauge theories
with matter beyond the fundamental representation as sums over Young diagrams. By using …