dorsal/arxiv
View SchemaSome twisted sectors for the Moonshine Module
| Authors | Chongying Dong, Haisheng Li, Geoffrey Mason |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9504014 |
| URL | https://arxiv.org/abs/q-alg/9504014 |
Abstract
For the moonshine module $V^{\natural},$ whose automorphism is the Monster ${\Bbb M},$ We show how to give a uniform existence proof for irreducible $g$-twisted modules for elements of type $2A,$ $2B$ and $4A$ in ${\Bbb M}.$ The most interesting of these is the twisted sector $V^{\natural}(2A),$ whose automorphism group is essentially the centralizer of $2A$ in ${\Bbb M}.$ This is a 2-fold central extension of the Baby Monster, the second largest sporadic simple group. We also establish uniqueness of the twisted sectors and the hauptmodul property for the graded traces of automorphisms of odd order, as predicted by conformal field theory.
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"abstract": "For the moonshine module $V^{\\natural},$ whose automorphism is the Monster\n${\\Bbb M},$ We show how to give a uniform existence proof for irreducible\n$g$-twisted modules for elements of type $2A,$ $2B$ and $4A$ in ${\\Bbb M}.$ The\nmost interesting of these is the twisted sector $V^{\\natural}(2A),$ whose\nautomorphism group is essentially the centralizer of $2A$ in ${\\Bbb M}.$ This\nis a 2-fold central extension of the Baby Monster, the second largest sporadic\nsimple group. We also establish uniqueness of the twisted sectors and the\nhauptmodul property for the graded traces of automorphisms of odd order, as\npredicted by conformal field theory.",
"arxiv_id": "q-alg/9504014",
"authors": [
"Chongying Dong",
"Haisheng Li",
"Geoffrey Mason"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Some twisted sectors for the Moonshine Module",
"url": "https://arxiv.org/abs/q-alg/9504014"
},
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