2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122040We apply an idea of framed vertex operator algebras to a construction of local conformal nets of (injective type III_1) factors on the circle corresponding to various lattice vertex operator algebras and their twisted orbifolds. In particular, we give a local conformal net corresponding to the moonshine vertex operator algebras of Frenkel-Lepowsky-Meurman. Its central charge is 24, it has a trivial representation theory in the sense that the vacuum sector is the only irreducible DHR sector, its vacuum character is the modular invariant J-function and its automorphism group (the gauge group) is the Monster group. We use our previous tools such as alpha-induction and complete rationality to study extensions of local conformal nets.24 pages; The automorphism group of the moonshine net is now identified with the monster groupOperator AlgebrasMathematical PhysicsQuantum Algebra81R15; 81T05; 81T40; 46L37; 17B69; 20D08text