Show simple item record

dc.contributor.author
Gaberdiel, Matthias R.
dc.contributor.author
Hohenegger, Stefan
dc.contributor.author
Volpato, Roberto
dc.date.accessioned
2019-10-30T16:57:14Z
dc.date.available
2017-06-14T15:45:16Z
dc.date.available
2019-10-30T16:57:14Z
dc.date.issued
2010-10
dc.identifier.issn
1126-6708
dc.identifier.issn
1029-8479
dc.identifier.other
10.1007/JHEP10(2010)062
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/158838
dc.identifier.doi
10.3929/ethz-b-000158838
dc.description.abstract
It has recently been conjectured that the elliptic genus of K3 can be written in terms of dimensions of Mathieu group M24 representations. Some further evidence for this idea was subsequently found by studying the twining genera that are obtained from the elliptic genus upon replacing dimensions of Mathieu group representations by their characters. In this paper we find explicit formulae for all (remaining) twining genera by making an educated guess for their general modular properties. This allows us to identify the decomposition of all expansion coefficients in terms of dimensions of M24-representations. For the first 500 coefficients we verify that the multiplicities with which these representations appear are indeed all non-negative integers. This represents very compelling evidence in favour of the conjecture.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Springer
en_US
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
dc.subject
Extended Supersymmetry
en_US
dc.subject
Conformal Field Models in String Theory
en_US
dc.title
Mathieu Moonshine in the elliptic genus of K3
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution 4.0 International
dc.date.published
2010-10-18
ethz.journal.title
Journal of High Energy Physics
ethz.journal.volume
2010
en_US
ethz.journal.issue
10
en_US
ethz.journal.abbreviated
J. High Energ. Phys.
ethz.pages.start
62
en_US
ethz.size
24 p.
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.wos
ethz.identifier.nebis
001934172
ethz.publication.place
Berlin
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03657 - Gaberdiel, Matthias / Gaberdiel, Matthias
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03657 - Gaberdiel, Matthias / Gaberdiel, Matthias
ethz.date.deposited
2017-06-14T15:51:20Z
ethz.source
ECIT
ethz.identifier.importid
imp59364d50a942522413
ethz.ecitpid
pub:42951
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2017-07-13T13:35:16Z
ethz.rosetta.lastUpdated
2024-02-02T09:43:14Z
ethz.rosetta.versionExported
true
ethz.COinS
ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.atitle=Mathieu%20Moonshine%20in%20the%20elliptic%20genus%20of%20K3&rft.jtitle=Journal%20of%20High%20Energy%20Physics&rft.date=2010-10&rft.volume=2010&rft.issue=10&rft.spage=62&rft.issn=1126-6708&1029-8479&rft.au=Gaberdiel,%20Matthias%20R.&Hohenegger,%20Stefan&Volpato,%20Roberto&rft.genre=article&rft_id=info:doi/10.1007/JHEP10(2010)062&
 Search print copy at ETH Library

Files in this item

Thumbnail

Publication type

Show simple item record