9 papers · 1 filter
Wall-crossing of Instantons on the Blow-up
Baptiste Filoche, Stefan Hohenegger, Taro Kimura
We study the instanton counting in four dimensional supersymmetric gauge theories on the blow-up of : we start by formulating the instanton moduli spa…
The 4-fold Pandharipande--Thomas vertex and Jeffrey--Kirwan residue
Taro Kimura, Go Noshita
We present a contour integral formalism for computing the K-theoretic equivariant Pandharipande--Thomas (PT) 4-vertex. Within the Jeffrey--Kirwan (JK) residue framework, we show th…
Gauge origami and quiver W-algebras IV: Pandharipande--Thomas -characters
Taro Kimura, Go Noshita
We develop a contour integral formalism for computing the K-theoretic equivariant 3-vertex. Within the Jeffrey--Kirwan (JK) residue framework, we show that, by an appropriate choic…
Surface Defects in -type Little String Theories
Baptiste Filoche, Stefan Hohenegger, Taro Kimura
-type Little String Theories (LSTs) are engineered from parallel M5-branes on a circle , probing a transverse background. Below t…
Gauge origami and quiver W-algebras II: Vertex function and beyond quantum -Langlands correspondence
Taro Kimura, Go Noshita
We continue the study of generalized gauge theory called gauge origami, based on the quantum algebraic approach initiated in [arXiv:2310.08545]. In this article, we in particular e…
Gauge origami and quiver W-algebras III: Donaldson--Thomas -characters
Taro Kimura, Go Noshita
We further develop the BPS/CFT correspondence between quiver W-algebras/-characters and partition functions of gauge origami. We introduce -characters associated with multi…