On the coset duals of extended higher spin theories

We study the holographic duality between the M × M matrix extension of Vasiliev higher spin theories on AdS 3 and the large N limit of SU( N + M ) / SU( N ) × U(1) type cosets. We present a simplified proof for the agreement of the spectra and clarify the relation between this duality and the version in which the cosets are replaced by KazamaSuzuki models of Grassmannian type