8 citations · 16 across the 5 of their papers we have counts for
6 papers
A Lie algebraic pattern behind logarithmic CFTs
Shoma Sugimoto, Hao Li
We introduce a purely Lie algebraic formalization of the Feigin--Tipunin's geometric construction of logarithmic CFTs/VOAs. After reformulating the geometric representation theory…
Quasi-lisse extension of affine à la Feigin--Tipunin
Thomas Creutzig, Shigenori Nakatsuka, Shoma Sugimoto
We study the affine analogue of the triplet algebra. We show that is quasi-lisse and the associated variety is the…
Torus links and -log VOA
Kazuhiro Hikami, Shoma Sugimoto
We reveal an intimate connection between the torus link and the logarithmic VOA. We show that the singlet character of -log VOA at the root of unity coin…
Atiyah-Bott formula and homological block of Seifert fibered homology -spheres
Shoma Sugimoto
We show that the homological block of Seifert fibered homology -spheres are computed by the iterated use of Atiyah-Bott fixed point formula.
Simplicity of higher rank triplet W-algebras
Shoma Sugimoto
We show that the higher rank triplet W-algebra is simple when p is bigger than or equal to h-1. Furthermore, we show that the Feigin-Tipunin's module over the higher rank triplet W…
On the Feigin-Tipunin conjecture
Shoma Sugimoto
We prove the Feigin-Tipunin conjecture on the geometric construction of the logarithmic W-algebras associated with a simply-laced simple Lie algebra and an integer p bigger than 2,…