Beauty And The Beast Part 2: Apprehending The Missing Supercurrent
arXiv:2309.02382 · doi:10.1007/s00220-025-05471-7
Abstract
The Moonshine module is a conformal field theory (CFT) whose automorphism group is the Monster group. It was argued by Dixon, Ginsparg, and Harvey in \cite{Dixon:1988qd} that there exists a spin lift of the Moonshine CFT with superconformal symmetry. Reference \cite{Dixon:1988qd} did not provide an explicit construction of a superconformal current. The present paper fills that gap. In fact, we will construct several superconformal currents in a spin lift of the Moonshine CFT using techniques developed in \cite{Harvey:2020jvu}. In particular, our construction relies on error correcting codes.
v2: 71 pages, references added, some minor corrections