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Anomaly matching on the Higgs branch

2017/03/03 by Hiroyuki Shimizu, Yuji Tachikawa, Gabi Zafrir · 43 citations
Mathematics · Physics and Astronomy · #Anomaly (physics) #Black Holes and Theoretical Physics #Class (philosophy) #Computer science #Geometry #Higgs boson #Instanton #Matching (statistics) #Mathematics #Moduli space #Particle physics #Particle physics theoretical and experimental studies #Physics #Point (geometry) #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Space (punctuation) #String (physics) #String theory #Theoretical physics #hep-th

paper · pdf · doi:10.1007/jhep12(2017)127

published in Journal of High Energy Physics 2017(12) (Springer Nature) · 23 pages

arxiv created 2017/03/03 · openalex publication_date 2017/12/01 · arxiv updated 2018/01/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We point out that we can almost always determine by the anomaly matching the full anomaly polynomial of a supersymmetric theory in 2d, 4d or 6d if we assume that its Higgs branch is the one-instanton moduli space of some group G. This method not only provides by far the simplest method to compute the central charges of known theories of this class, e.g. 4d E6,7,8 theories of Minahan and Nemeschansky or the 6d E-string theory, but also gives us new pieces of information about unknown theories of this class.

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