Coulomb branches for rank 2 gauge groups in 3d N= 4 gauge theories

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dc.identifier.uri http://dx.doi.org/10.15488/739
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/763
dc.contributor.author Hanany, Amihay
dc.contributor.author Sperling, Marcus
dc.date.accessioned 2016-11-25T08:33:31Z
dc.date.available 2016-11-25T08:33:31Z
dc.date.issued 2016
dc.identifier.citation Hanany, A.; Sperling, Marcus: Coulomb branches for rank 2 gauge groups in 3d N= 4 gauge theories. In: Journal of High Energy Physics 2016 (2016), Nr. 8, 16. DOI: http://dx.doi.org/10.1007/JHEP08(2016)016
dc.description.abstract The Coulomb branch of 3-dimensional N=4 gauge theories is the space of bare and dressed BPS monopole operators. We utilise the conformal dimension to define a fan which, upon intersection with the weight lattice of a GNO-dual group, gives rise to a collection of semi-groups. It turns out that the unique Hilbert bases of these semi-groups are a sufficient, finite set of monopole operators which generate the entire chiral ring. Moreover, the knowledge of the properties of the minimal generators is enough to compute the Hilbert series explicitly. The techniques of this paper allow an efficient evaluation of the Hilbert series for general rank gauge groups. As an application, we provide various examples for all rank two gauge groups to demonstrate the novel interpretation. eng
dc.description.sponsorship STFC/ST/J0003533/1
dc.description.sponsorship EP/K034456/1
dc.description.sponsorship DFG/GRK/1463
dc.language.iso eng
dc.publisher Heidelberg : Springer Verlag
dc.relation.ispartofseries Journal of High Energy Physics 2016 (2016), Nr. 8
dc.rights CC BY 4.0
dc.rights.uri https://creativecommons.org/licenses/by/4.0/
dc.subject Field Theories in Lower Dimensions eng
dc.subject Solitons Monopoles and Instantons eng
dc.subject Supersymmetric gauge theory eng
dc.subject.ddc 530 | Physik ger
dc.title Coulomb branches for rank 2 gauge groups in 3d N= 4 gauge theories
dc.type article
dc.type Text
dc.relation.essn 1029-8479
dc.relation.doi http://dx.doi.org/10.1007/JHEP08(2016)016
dc.bibliographicCitation.issue 8
dc.bibliographicCitation.volume 2016
dc.bibliographicCitation.date
dc.bibliographicCitation.firstPage 16
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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