Some irrational Generalised Moonshine from orbifolds

Rossen Ivanov; Michael Tuite

doi:10.1016/S0550-3213(02)00319-X

Some irrational Generalised Moonshine from orbifolds

Rossen Ivanov
, Michael Tuite

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

3 Citations (Scopus)

Abstract

We verify the Generalised Moonshine conjectures for some irrational modular functions for the Monster centralisers related to the Harada-Norton, Held, M₁₂ and L₃(3) simple groups based on certain orbifolding constraints. We find explicitly the fixing groups of the hauptmoduls arising in each case.

Original language	English
Pages (from-to)	473-491
Number of pages	19
Journal	Nuclear Physics, Section B
Volume	635
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(02)00319-X
Publication status	Published - 29 Jul 2002

Keywords

Conformal fields
Modular groups
Moonshine
Orbifolds

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10.1016/S0550-3213(02)00319-X

Cite this

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title = "Some irrational Generalised Moonshine from orbifolds",

abstract = "We verify the Generalised Moonshine conjectures for some irrational modular functions for the Monster centralisers related to the Harada-Norton, Held, M12 and L3(3) simple groups based on certain orbifolding constraints. We find explicitly the fixing groups of the hauptmoduls arising in each case.",

keywords = "Conformal fields, Modular groups, Moonshine, Orbifolds",

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T1 - Some irrational Generalised Moonshine from orbifolds

AU - Ivanov, Rossen

AU - Tuite, Michael

PY - 2002/7/29

Y1 - 2002/7/29

N2 - We verify the Generalised Moonshine conjectures for some irrational modular functions for the Monster centralisers related to the Harada-Norton, Held, M12 and L3(3) simple groups based on certain orbifolding constraints. We find explicitly the fixing groups of the hauptmoduls arising in each case.

AB - We verify the Generalised Moonshine conjectures for some irrational modular functions for the Monster centralisers related to the Harada-Norton, Held, M12 and L3(3) simple groups based on certain orbifolding constraints. We find explicitly the fixing groups of the hauptmoduls arising in each case.

KW - Conformal fields

KW - Modular groups

KW - Moonshine

KW - Orbifolds

UR - https://www.scopus.com/pages/publications/0037194230

U2 - 10.1016/S0550-3213(02)00319-X

DO - 10.1016/S0550-3213(02)00319-X

M3 - Article

AN - SCOPUS:0037194230

SN - 0550-3213

VL - 635

SP - 473

EP - 491

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -

Some irrational Generalised Moonshine from orbifolds

Abstract

Keywords

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