The Moonshine Anomaly
نویسندگان
چکیده
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 کاملProof of the umbral moonshine conjecture
The Umbral Moonshine Conjectures assert that there are infinite-dimensional graded modules, for prescribed finite groups, whose McKay–Thompson series are certain distinguished mock modular forms. Gannon has proved this for the special case involving the largest sporadic simple Mathieu group. Here, we establish the existence of the umbral moonshine modules in the remaining 22 cases. Mathematics ...
متن کاملBorcherds’ proof of the moonshine conjecture
These CSG notes contain a condensed account of a talk by V. Nikulin in the London algebra Colloquium on 24 May 2001. None of the content is original to me: it is provided simply as a service for those who missed Nikulin’s talks. I have relied mainly on my notes from the lectures, So any errors are the product of the note-taking and are not to be attributed to the content of the lectures. 1 The ...
متن کاملProblems in moonshine
The talk at the I.C.C.M. was an introduction to moonshine. As there are already several survey articles on what is known about moonshine ([B94], [B99], [D-M94], [DM96], [F-H98], [J]), this paper differs from the talk and will concentrate mainly on what we do not know about it. Moonshine is not a well defined term, but everyone in the area recognizes it when they see it. Roughly speaking, it mea...
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...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2019
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-019-03300-2