3 papers
math.CO2026
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…
math.PR2025
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…
math.QA2025
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…