From the 1 of 8 linked papers with an AI index.
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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…
An application of collapsing levels to the representation theory of affine vertex algebras
Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria +2
We discover a large class of simple affine vertex algebras , associated to basic Lie superalgebras at non-admissible collapsing levels , havin…