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On the classification of 5d SCFTs

2019/09/20 by Lakshya Bhardwaj, Bhardwaj, Lakshya · 1 citation
Mathematics · Medicine · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #IgG4-Related and Inflammatory Diseases #hep-th

paper · pdf · doi:10.48550/arxiv.1909.09635

86 pages, v2: References added, v3: Equation references corrected, published version

openalex publication_date 2019/09/20 · arxiv created 2020/08/28 · arxiv updated 2020/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine all 5d SCFTs upto rank three by studying RG flows of 5d KK theories. Our analysis reveals the existence of new rank one and rank two 5d SCFTs not captured by previous classifications. In addition to that, we provide for the first time a systematic and conjecturally complete classification of rank three 5d SCFTs. Our methods are based on a recently studied geometric description of 5d KK theories, thus demonstrating the utility of these geometric descriptions. It is straightforward, though computationally intensive, to extend this work and systematically classify 5d SCFTs of higher ranks (greater than or equal to four) by using the geometric description of 5d KK theories.

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