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

Creators: Argyres, Philip C.; Long, Cody; Martone, Mario

Abstract

We compute the spectrum of scaling dimensions of Coulomb branch operators in 4d rank-2 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.

Additional Information

© The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received: January 29, 2018. Accepted: May 7, 2018. Published: May 14, 2018. Article funded by SCOAP3. It is a pleasure to thank Y. Lü for collaborating in the early stages of the project and for sharing with us useful insights. Furthermore we would like to thank J. Distler, B. Ergun, I. García-Etxebarria, J. Halverson, B. Heidenreich, D. Kulkarni, M. Lotito, D. Regalado and F. Yan for helpful comments and discussions. PA is supported in part by DOE grant DE-SC0011784 and by Simons Foundation Fellowship 506770. CL is supported by NSF grant PHY-1620526. MM is supported by NSF grant PHY-1151392.

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Published - 10.1007_2FJHEP05_2018_086.pdf

Submitted - 1801.01122

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