9 papers
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…
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…