We've been studying the subgroups of SL2C, although these have involved various restrictions from C to R. Today we’re going to restrict even further, down to Z.

This is the second part in a series on realizing the affine Lie algebra sl2 in terms of vertex operators. Today we verify that the twisted vertex operator X plays the role of the raising and lowering operators.

Over at our informal SeanForScience YouTube channel, we’ve been running a technical series on Vertex Operator Algebras. It mostly follows the Frenkel, Lewposky, Meurman text, although I’ve included some extra physics material for context. Here’s quick review of what we’ve been up to.