5d Superconformal Field Theories and Graphs

2019/06/30 by Fabio Apruzzi, Craig Lawrie, Ling Lin +2 · 2 citations
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1016/j.physletb.2019.135077

6 pages, 2 figures. Supplementary material available here: https://people.maths.ox.ac.uk/schafernamek/CFD

arxiv created 2019/07/02 · arxiv updated 2020/01/08

Abstract

We propose a graph-theoretic description to determine and characterize 5d superconformal field theories (SCFTs) that arise as circle reductions of 6d N = (1,0) SCFTs. Each 5d SCFT is captured by a graph, called a Combined Fiber Diagram (CFD). Transitions between CFDs encode mass deformations that trigger flows between SCFTs. In this way, the complete set of descendants of a given 6d theory are obtained from a single marginal CFD. The graphs encode key physical information like the superconformal flavor symmetry and BPS states. As an illustration, we ascertain the aforementioned data associated to all the 5d SCFTs descending from 6d minimal (E₆, E₆) and (D_k, D_k) conformal matter for any k. This includes predictions for thus far unknown flavor symmetry enhancements.

Cited by

• Fibers add flavor. Part II. 5d SCFTs, gauge theories, and dualities
• 5d SCFTs from Decoupling and Gluing

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• 5d SCFTs from Decoupling and Gluing
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