Some irrational Generalised Moonshine from orbifolds

Rossen Ivanov; Michael Tuite

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

Some irrational Generalised Moonshine from orbifolds

Research output: Contribution to journal › Article › peer-review

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 B
Volume	635
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(02)00319-X https://doi.org/10.21427/jtvd-mb47
Publication status	Published - 29 Jul 2002
Externally published	Yes

Keywords

Conformal fields
Modular groups
Moonshine
Orbifolds

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10.1016/S0550-3213(02)00319-X
10.21427/jtvd-mb47Licence: CC BY-NC

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.",

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author = "Rossen Ivanov and Michael Tuite",

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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 B

JF - Nuclear Physics B

IS - 3

ER -

Some irrational Generalised Moonshine from orbifolds

Abstract

Keywords

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