Charged moments in W3 higher spin holography

A bstract We consider the charged moments in SL(3 , ?) higher spin holography, as well dual two-dimensional conformal field theory with W 3 symmetry. For vacuum state and a single entangling interval, we show that algebra of induces an entanglement acting on quantum interval. The contains modular charge which commutes Hamiltonian. reduced density matrix is characterized by energy charge, hence our definition also respect to these conserved quantities. evaluate logarithm perturbatively chemical potential, computing corresponding connected correlation functions operator up quartic order potential. This method provides access without using twist fields. Our result matches known results for moment obtained from topological black hole picture gravity. Since are not Gaussian potential any longer, conclude theories must feature breakdown equipartition leading large c expansion.