11 citations · 46 across the 19 of their papers we have counts for
19 papers
Coupling of radial multiple SLE with Gaussian free field, and the hydrodynamic limit
Makoto Katori, Shinji Koshida, Chizuru Soukejima +1
Schramm--Loewner evolution (SLE) has been one of the central topics in the probabilistic study of two-dimensional critical systems. It is a random curve in two dimensions to which…
Planar algebras for the Young graph and the Khovanov Heisenberg category
Shinji Koshida
This paper studies planar algebras of Jones' style associated with the Young graph. We first see that, given a positive real valued function on the Young graph, we may obtain a pla…
Module Categories of the Generic Virasoro VOA and Quantum Groups
Shinji Koshida
In this paper, we prove the equivalence between two ribbon tensor categories. On the one hand, we consider the category of modules of the Virasoro vertex operator algebra with gene…
Normalized characters of symmetric groups and Boolean cumulants via Khovanov's Heisenberg category
Shinji Koshida
In this paper, we study relationships between the normalized characters of symmetric groups and the Boolean cumulants of Young diagrams. Specifically, we show that each normalized…
The quantum group dual of the first-row subcategory for the generic Virasoro VOA
Shinji Koshida, Kalle Kytölä
In several examples it has been observed that a module category of a vertex operator algebra (VOA) is equivalent to a category of representations of some quantum group. The present…
Three phases of multiple SLE driven by non-colliding Dyson's Brownian motions
Makoto Katori, Shinji Koshida
The present paper is concerned with properties of multiple Schramm--Loewner evolutions (SLEs) labelled by a parameter . Specifically, we consider the solution of the mu…