The singularity structure of scale-invariant rank-2 Coulomb branches

Autor: Philip C. Argyres, Cody Long, Mario Martone
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2018, Iss 5, Pp 1-48 (2018)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP05(2018)086
Popis: Abstract We compute the spectrum of scaling dimensions of Coulomb branch operators in 4d rank-2 N=2 $$ \mathcal{N}=2 $$ superconformal field theories. Only a finite rational set of scaling dimensions is allowed. It is determined by using information about the global topology of the locus of metric singularities on the Coulomb branch, the special Kähler geometry near those singularities, and electric-magnetic duality monodromies along orbits of the U(1) R symmetry. A set of novel topological and geometric results are developed which promise to be useful for the study and classification of Coulomb branch geometries at all ranks.
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