String Theory Journal Club

We present some interesting constructions of W algebras of type A,D by the topological recursion (TR) and relate them to higher Airy structures. This suggests a new, more combinatorial view on W_r modes itself. We also consider "twists", such as breaking Lie algebra property and using the TR without branching on a branched curve at a general point. arXiv references: 1203.3414, 1412.3286, 1603.00073, 1703.03307, 1804.07417.