We prove the long-standing conjecture on the coset construction of the minimal series
principal W-algebras of ADE types in full generality. We do this by first establishing Feigin's …

A bstract The class of 2d minimal model CFTs with higher spin AdS 3 duals is extended to
theories with large\(\mathcal {N}\)= 4 superconformal symmetry. We construct a higher spin …

Given a finite-dimensional reductive Lie algebra g equipped with a nondegenerate,
invariant, symmetric bilinear form B, let V k (g, B) denote the universal affine vertex algebra …

A bstract\(\mathcal {N}= 4\) super Yang-Mills theory admits [1] a protected subsector
isomorphic to a two-dimensional chiral algebra, obtained by passing to the cohomology of a …

A bstract We propose holographic dualities between higher spin gravity theories extended
with Chan-Paton factor on AdS 3 and a large N limit of two dimensional Grassmannian …

A bstract We propose a holographic duality between a higher spin AdS 3 gravity with so (p)
extended supersymmetry and a large N limit of a 2-dimensional Grassmannian-like model …

A bstract We derive correspondences of correlation functions among dual conformal field
theories in two dimensions by developing a “first order formulation” of coset models. We …

A bstract The even spin\(\mathcal {W} _ {\infty}^ e\) algebra that is generated by the stress
energy tensor together with one Virasoro primary field for every even spin s≥ 4 is analysed …

We study W algebras obtained by quantum Hamiltonian reduction of sl (M n) associated to
the sl (2) embedding of rectangular type. The algebra can be realized as the asymptotic …

A bstract The gauge sector of three-dimensional higher spin gravities can be formulated as a
Chern-Simons theory. In this context, a higher spin black hole corresponds to a flat …