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

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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:

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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.
License of this version: CC BY 4.0 Unported
Document Type: Article
Publishing status: publishedVersion
Issue Date: 2016
Appears in Collections:Fakultät für Mathematik und Physik

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pos. country downloads
total perc.
1 image of flag of Germany Germany 57 61.29%
2 image of flag of United States United States 20 21.51%
3 image of flag of China China 8 8.60%
4 image of flag of Zambia Zambia 1 1.08%
5 image of flag of Taiwan Taiwan 1 1.08%
6 image of flag of Thailand Thailand 1 1.08%
7 image of flag of Poland Poland 1 1.08%
8 image of flag of Hungary Hungary 1 1.08%
9 image of flag of Algeria Algeria 1 1.08%
10 image of flag of Canada Canada 1 1.08%
    other countries 1 1.08%

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