48 citations · 78 across the 20 of their papers we have counts for
24 papers
W-algebras as conformal extensions of affine VOAs
Dražen Adamović, Tomoyuki Arakawa, Thomas Creutzig +4
We provide a criterion for a vertex operator superalgebra homomorphism from an affine vertex algebra to another vertex superalgebra to be conformal, and an additional criterion tha…
Spectral flow and application to unitarity of representations of minimal -algebras
Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi
Using spectral flow, we provide a proof of [11, Theorem 9.17] on unitarity of Ramond twisted non-extremal representations of unitary minimal -algebras that does not rely on the…
Extremal unitary representations of big superconformal algebra
Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi
In this paper we give a detailed proof of the classification of extremal (=massless) unitary highest weight representations in the Neveu Schwarz and Ramond sectors of the big …
Unitarity of minimal -algebras and their representations II: Ramond sector
Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi
In this paper we study unitary Ramond twisted representations of minimal -algebras. We classify all such irreducible highest weight representations with a non-Ramond extremal hi…
New approaches for studying conformal embeddings and collapsing levels for --algebras
Drazen Adamovic, Pierluigi Moseneder Frajria, Paolo Papi
In this paper we prove a general result saying that under certain hypothesis an embedding of an affine vertex algebra into an affine --algebra is conformal if and only if their…
On the semisimplicity of the category for affine Lie superalgebras
Drazen Adamovic, Pierluigi Moseneder Frajria, Paolo Papi
We study the semisimplicity of the category for affine Lie superalgebras and provide a super analog of certain results from arXiv:1801.09880. Let be the subcate…