The Group of Symmetries of the shorter Moonshine Module
نویسنده
چکیده
It is shown that the automorphism group of the shorter Moonshine module constructed in [Höh95] (also called Baby Monster vertex operator superalgebra) is the direct product of the finite simple group known as the Baby Monster and the cyclic group of order 2.
منابع مشابه
On the Relationship between Monstrous Moonshine and the Uniqueness of the Moonshine Module
We consider the relationship between the conjectured uniqueness of the Moonshine Module, V♮, and Monstrous Moonshine, the genus zero property of the modular invariance group for each Monster group Thompson series. We first discuss a family of possible Zn meromorphic orbifold constructions of V♮ based on automorphisms of the Leech lattice compactified bosonic string. We reproduce the Thompson se...
متن کاملDecompositions of the Moonshine Module with respect to subVOAs associated to codes over Z2k
In this paper, we give decompositions of the moonshine module V ♮ with respect to subVOAs associated to extremal Type II codes over Z2k for an integer k ≥ 2. Those subVOAs are isomorphic to the tensor product of 24 copies of the charge conjugation orbifold VOA. Using such decompositions, we obtain some elements of type 4A (k odd) and 2B (k even) of the Monster simple group Aut(V ♮).
متن کامل06 9 v 1 1 6 N ov 1 99 2 DIAS - STP - 92 - 29 MONSTROUS MOONSHINE AND THE UNIQUENESS OF THE MOONSHINE MODULE
In this talk we consider the relationship between the conjectured uniqueness of the Moonshine module V of Frenkel, Lepowsky and Meurman and Monstrous Moonshine, the genus zero property for Thompson series discovered by Conway and Norton. We discuss some evidence to support the uniqueness of V by considering possible alternative orbifold constructions of V from a Leech lattice compactified strin...
متن کاملReduction of Differential Equations by Lie Algebra of Symmetries
The paper is devoted to an application of Lie group theory to differential equations. The basic infinitesimal method for calculating symmetry group is presented, and used to determine general symmetry group of some differential equations. We include a number of important applications including integration of ordinary differential equations and finding some solutions of partial differential equa...
متن کاملRational Generalised Moonshine from Abelian Orbifoldings of the Moonshine Module
We consider orbifoldings of the Moonshine Module with respect to the abelian group generated by a pair of commuting Monster group elements with one of prime order p = 2, 3, 5, 7 and the other of order pk for k = 1 or k prime. We show that constraints arising from meromorphic orbifold conformal field theory allow us to demonstrate that each orbifold partition function with rational coefficients ...
متن کامل