منابع مشابه
Rational 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 کاملSome Twisted Sectors for the Moonshine Module
The construction of twisted sectors, or g-twisted modules, for a vertex operator algebra V and automorphism g, is a fundamental problem in algebraic conformal field theory and the theory of orbifold models. For the moonshine module V , whose automorphism is the Monster M, Tuite has shown that this problem is intimately related to the generalized moonshine conjecture which relates hauptmoduln to...
متن کاملOn 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 کاملThe Group of Symmetries of the shorter Moonshine Module
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.
متن کاملFramed vertex operator algebras, codes and the moonshine module
For a simple vertex operator algebra whose Virasoro element is a sum of commutative Virasoro elements of central charge 1 2 , two codes are introduced and studied. It is proved that such vertex operator algebras are rational. For lattice vertex operator algebras and related ones, decompositions into direct sums of irreducible modules for the product of the Virasoro algebras of central charge 1 ...
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ژورنال
عنوان ژورنال: Communications in Number Theory and Physics
سال: 2018
ISSN: 1931-4523,1931-4531
DOI: 10.4310/cntp.2018.v12.n2.a3