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dc.contributor.author
Alexandrov, Sergei
dc.contributor.author
Persson, Daniel
dc.contributor.author
Pioline, Boris
dc.date.accessioned
2019-09-23T15:51:18Z
dc.date.available
2017-06-09T17:16:29Z
dc.date.available
2019-09-23T15:51:18Z
dc.date.issued
2011-12
dc.identifier.other
10.1007/JHEP12(2011)027
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/41329
dc.identifier.doi
10.3929/ethz-b-000041329
dc.description.abstract
When formulated in twistor space, the D-instanton corrected hypermultiplet moduli space in N=2 string vacua and the Coulomb branch of rigid N=2 gauge theories on R3 × S 1 are strikingly similar and, to a large extent, dictated by consistency with wall-crossing. We elucidate this similarity by showing that these two spaces are related under a general duality between, on one hand, quaternion-Kähler manifolds with a quaternionic isometry and, on the other hand, hyperkähler manifolds with a rotational isometry, equipped with a canonical hyperholomorphic circle bundle and a connection. We show that the transition functions of the hyperholomorphic circle bundle relevant for the hypermultiplet moduli space are given by the Rogers dilogarithm function, and that consistency across walls of marginal stability is ensured by the motivic wall-crossing formula of Kontsevich and Soibelman. We illustrate the construction on some simple examples of wall-crossing related to cluster algebras for rank 2 Dynkin quivers. In an appendix we also provide a detailed discussion on the general relation between wall-crossing and cluster algebras.
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-nc/2.0/
dc.subject
Supersymmetric gauge theory
en_US
dc.subject
Solitons Monopoles and Instantons
en_US
dc.subject
D-branes
en_US
dc.subject
Superstring Vacua
en_US
dc.title
Wall-crossing, Rogers dilogarithm, and the QK/HK correspondence
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution-NonCommercial 2.0 Generic
dc.date.published
2011-12-06
ethz.journal.title
Journal of High Energy Physics
ethz.journal.volume
2011
en_US
ethz.journal.issue
12
en_US
ethz.pages.start
27
en_US
ethz.size
65 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
2017-06-09T17:16:54Z
ethz.source
ECIT
ethz.identifier.importid
imp59364ea5eb45057010
ethz.ecitpid
pub:69013
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2017-07-12T18:32:42Z
ethz.rosetta.lastUpdated
2019-09-23T15:51:34Z
ethz.rosetta.versionExported
true
ethz.COinS
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