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2018

Rectangular W-algebras, extended higher spin gravity and dual coset CFTs

Creutzig, Thomas, Hikida, Yasuaki

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We analyze the asymptotic symmetry of higher spin gravity with $M \times M$ matrix valued fields, which is given by rectangular W-algebras with su$(M)$ symmetry.

The matrix valued extension is expected to be useful for the relation between higher spin gravity and string theory.
With the truncation of spin as $s=2,3,\ldots , n$, we evaluate the central charge $c$ of the algebra and the level $k$ of the affine currents with finite $c,k$.
For the simplest case with $n=2$, we obtain the operator product expansions among generators by requiring their associativity.

Rectangular W-algebras, extended higher spin gravity and dual coset CFTs · Around

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