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arxiv: 1404.1694 · v2 · pith:EX3SFZGNnew · submitted 2014-04-07 · ✦ hep-th

The large mathcal{N}=4 superconformal mathcal{W}_infty algebra

Matteo Beccaria , Constantin Candu , Matthias R. Gaberdiel This is my paper
classification ✦ hep-th
keywords algebrainftysuperconformaldetaillargemathcaladditionalgebras
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The most general large ${\cal N}=4$ superconformal ${\cal W}_{\infty}$ algebra, containing in addition to the superconformal algebra one supermultiplet for each integer spin, is analysed in detail. It is found that the ${\cal W}_{\infty}$ algebra is uniquely determined by the levels of the two $\mathfrak{su}(2)$ algebras, a conclusion that holds both for the linear and the non-linear case. We also perform various cross-checks of our analysis, and exhibit two different types of truncations in some detail.

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  1. A Charged and Neutral Spin-$4$ Currents in the Grassmannian-like Coset Model

    hep-th 2025-05 unverdicted novelty 4.0

    Primary charged and neutral spin-4 currents are identified in the Grassmannian-like coset model by extracting the second-order poles in OPEs of charged-neutral and neutral-neutral spin-3 currents.