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Abstract For any non-negative integer v we construct explicitly ⌊ v /2⌋+1 independent covariant bilinear differential operators from J k , m × J k ′, m ′ to J k + k ′+ v , m + m ′ . As an… (More)

Let ℍn be the Siegel upper half space and let F and G be automorphic forms on ℍn of weights k and l, respectively. We give explicit examples of differential operators D acting on functions on ℍn × ℍn… (More)

We construct several quantum coset W-algebras, e.g. d sl(2,IR)/ d U(1) and d sl(2,IR)⊕ d sl(2,IR)/ d sl(2,IR), and argue that they are finitely nonfreely generated. Furthermore, we discuss in detail… (More)

- Wolfgang Eholzer
- 1995

AbstractWe introduce the notion of (nondegenerate) strongly-modular fusion algebras. Here strongly-modular means that the fusion algebra is induced via Verlinde's formula by a representation of the… (More)

We demonstrate that all rational models of theN = 2 super Virasoro algebra are unitary. Our arguments are based on three different methods: we determine Zhu’s algebraA(H0) (for which we give a… (More)

In this paper we consider extensions of the super Virasoro algebra by one and two super primary fields. Using a nonexplicitly covariant approach we compute all SW algebras with one generator of… (More)

We prove a generalization of the Verlinde formula to fermionic rational conformal field theories. The fusion coefficients of the fermionic theory are equal to sums of fusion coefficients of its… (More)

Abstract Fermionic and bosonic ghost systems are defined each in terms of a single vertex algebra which admits a one-parameter family of conformal structures. The observation that these structures… (More)

- Wolfgang Eholzer
- 1995

We introduce the notion of (nondegenerate) strongly-modular fusion algebras. Here strongly-modular means that the fusion algebra is induced via Verlinde’s formula by a representation of the modular… (More)

We show that the conformal characters of various rational models ofW-algebras can be already uniquely determined if one merely knows the central charge and the conformal dimensions. As a side result… (More)