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…
Pfaffian Point Processes from Free Fermion Algebras: Perfectness and Conditional Measures
Shinji Koshida
The analogy between determinantal point processes (DPPs) and free fermionic calculi is well-known. We point out that, from the perspective of free fermionic algebras, Pfaffian poin…
Free field theory and observables of periodic Macdonald processes
Shinji Koshida
We propose periodic Macdonald processes as a -deformation of periodic Schur processes and a periodic analogue of Macdonald processes. It is known that, in the theory of stoc…
Gaussian free fields coupled with multiple SLEs driven by stochastic log-gases
Makoto Katori, Shinji Koshida
Miller and Sheffield introduced the notion of an imaginary surface as an equivalence class of pairs of simply connected proper subdomains of and Gaussian free fields (…
Multiple backward Schramm--Loewner evolution and coupling with Gaussian free field
Shinji Koshida
It is known that a backward Schramm--Loewner evolution (SLE) is coupled with a free boundary Gaussian free field (GFF) with boundary perturbation to give conformal welding of quant…
Free field approach to the Macdonald process
Shinji Koshida
The Macdonald process is a stochastic process on the collection of partitions that is a -deformed generalization of the Schur process. In this paper, we approach the Macdona…
Conformal welding problem, flow line problem, and multiple Schramm--Loewner evolution
Makoto Katori, Shinji Koshida
A quantum surface (QS) is an equivalence class of pairs of simply connected domains and random distributions on induced by the conformal equ…
On resolution of highest weight modules over the superconformal algebra
Shinji Koshida, Ryo Sato
In this paper we construct Bernstein--Gelfand--Gelfand type resolution of simple highest weight modules over the simple vertex operator superalgebra of central char…
Coset construction of Virasoro minimal models and coupling of Wess-Zumino-Witten theory with Schramm-Loewner evolution
Shinji Koshida
Schramm-Loewner evolution (SLE) is a random process that gives a useful description of fractal curves. After its introduction, many works concerning the connection between SLE and…
Note on Schramm-Loewner evolution for superconformal algebras
Shinji Koshida
We propose variants of Schramm-Loewner evolution (SLE) that are related to superconformal algebras following the group theoretical formulation of SLE, in which the relevant stochas…
Schramm-Loewner evolution with Lie superalgebra symmetry
Shinji Koshida
We propose a generalization of Schramm-Loewner evolution (SLE) that has internal degrees of freedom described by an affine Lie superalgebra. We give a general formulation of SLE co…
Local martingales associated with Schramm-Loewner evolutions with internal symmetry
Shinji Koshida
We consider Schramm-Loewner evolutions (SLEs) with internal degrees of freedom that are associated with representations of affine Lie algebras, following group theoretical formulat…
Schramm--Loewner-evolution-type growth processes corresponding to Wess--Zumino--Witten theories
Shinji Koshida
A group theoretical formulation of Schramm--Loewner-evolution-type growth processes corresponding to Wess--Zumino--Witten theories is developed that makes it possible to construct…
Perturbative Approach to Superfluidity under Nonuniform Potential
Shinji Koshida, Yusuke Kato
A perturbative way to investigate superfluid properties of various systems under nonuniform potential is presented. We derive the perturbation expansion of the superfluid fraction,…