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Higher spin algebras and large $\mathcal{N}=4$ holography
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abstract
A new family of higher spin algebras that arises upon restricting matrix extensions of $\mathfrak{shs}[\lambda]$ is found. We identify coset CFTs realising these symmetry algebras, and thus propose new higher spin-CFT dual pairs. These higher spin theories arise naturally as a subsector of string theory on ${\rm AdS}_3\times {\rm S}^3 \times {\rm S}^3 \times {\rm S}^1$ for specific ratios of the radii of the two spheres.
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Cited by 1 Pith paper
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A universal W-algebra for N=4 super Yang-Mills
Using associativity constraints from OPE bootstrapping, the authors give evidence for a one-parameter W-algebra W∞^{s,s} that conjecturally truncates to the VOA of 4d N=4 SU(N) super Yang-Mills at c = -3(N²-1).
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