The singularity structure of scaleinvariant rank2 Coulomb branches
We compute the spectrum of scaling dimensions of Coulomb branch operators in 4d rank2 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 electricmagnetic duality monodromies along orbits of the U(1) _{R} symmetry. With this beind said, 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.
 Authors:

^{[1]};
^{[2]};
^{[3]}
 Univ. of Cincinnati, OH (United States); California Inst. of Technology (CalTech), Pasadena, CA (United States)
 Northeastern Univ., Boston, MA (United States)
 Univ. of Texas, Austin, TX (United States)
 Publication Date:
 Grant/Contract Number:
 SC0011784
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 5; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Univ. of Cincinnati, OH (United States)
 Sponsoring Org:
 USDOE Office of Science (SC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal Field Theory; Differential and Algebraic Geometry; Extended Supersymmetry; Supersymmetric Gauge Theory
 OSTI Identifier:
 1499178
Argyres, Philip C., Long, Cody, and Martone, Mario. The singularity structure of scaleinvariant rank2 Coulomb branches. United States: N. p.,
Web. doi:10.1007/jhep05(2018)086.
Argyres, Philip C., Long, Cody, & Martone, Mario. The singularity structure of scaleinvariant rank2 Coulomb branches. United States. doi:10.1007/jhep05(2018)086.
Argyres, Philip C., Long, Cody, and Martone, Mario. 2018.
"The singularity structure of scaleinvariant rank2 Coulomb branches". United States.
doi:10.1007/jhep05(2018)086. https://www.osti.gov/servlets/purl/1499178.
@article{osti_1499178,
title = {The singularity structure of scaleinvariant rank2 Coulomb branches},
author = {Argyres, Philip C. and Long, Cody and Martone, Mario},
abstractNote = {We compute the spectrum of scaling dimensions of Coulomb branch operators in 4d rank2 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 electricmagnetic duality monodromies along orbits of the U(1)R symmetry. With this beind said, 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.},
doi = {10.1007/jhep05(2018)086},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2018,
place = {United States},
year = {2018},
month = {5}
}