On the uniqueness of the moonshine vertex operator algebra
  It is proved that a vertex operator algebra is isomorphic to the moonshine VOA of Frenkel-Lepowsky-Meurman if it satisfies certain conditions. Our two main theorems establish a weak version of the FLM uniqueness conjecture for the moonshine vertex operator algebra. We believe that these are the first such results. 
Chongying Dong, Robert L. Griess Jr., Ching Hung Lam