The large N=4 superconformal W_∞ algebra

2014/04/07 by Matteo Beccaria, Beccaria, Matteo, Constantin Candu +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · pdf · doi:10.48550/arxiv.1404.1694

openalex publication_date 2014/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The most general large \cal N=4 superconformal \cal W_∞ 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_∞ algebra is uniquely determined by the levels of the two \mathfraksu(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.

Citations

• Notes On Higher Spin Symmetries

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