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 …

A bstract We propose a systematic approach to computing the BPS spectrum of any 5d/6d
supersymmetric quantum field theory in Coulomb phases, which admits either gauge theory …

A bstract We describe a general method for deducing T-dualities of little string theories,
which are dualities between these theories that arise when they are compactified on circle …

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 …

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 …

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 …

A bstract We present closed-form expressions of unrefined instanton partition functions for
gauge groups of type BCD as sums over Young diagrams. For SO (n) gauge groups, we …

A bstract We compute the partition function for 6d\(\mathcal {N}\)= 1 SO (2N) gauge theories
compactified on a circle with ℤ 2 outer automorphism twist. We perform the computation …

We develop a method to build new 5D N= 1 gauge models based on Sasaki-Einstein
manifolds Y p, q. These models extend the standard 5D ones having a unitary SU (p) q …

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 …