5 papers · 1 filter
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…