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Geometry of 6D RG Flows

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arxiv 1505.00009 v2 pith:DKFWQK5Y submitted 2015-04-30 hep-th

Jonathan J. Heckman , David R. Morrison , Tom Rudelius , Cumrun Vafa This is my paper · ORCID
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keywords flowsflowgeometrytheoriesbranchcorrespondsevidenceexpectation
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We study renormalization group flows between six-dimensional superconformal field theories (SCFTs) using their geometric realizations as singular limits of F-theory compactified on elliptically fibered Calabi-Yau threefolds. There are two general types of flows: One corresponds to giving expectation values to scalars in the tensor multiplets (tensor branch flow) realized as resolving the base of the geometry. The other corresponds to giving expectation values to hypermultiplets (Higgs branch flow) realized as complex structure deformations of the geometry. To corroborate this physical picture we calculate the change in the anomaly polynomial for these theories, finding strong evidence for a flow from a UV fixed point to an IR fixed point. Moreover, we find evidence against non-trivial dualities for 6D SCFTs. In addition we find non-trivial RG flows for theories realizing small E8 instantons on ALE spaces.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Anomaly Matching in 6d $\mathcal{N}=(2,0)$ SCFTs from M5 Cobordism

    hep-th 2025-01 conditional novelty 7.0 of 10

    M5 bordism classifies the invertible phases of 6d (2,0) anomaly theories, and the Hopf-Wess-Zumino term is the phase that transgresses to the second Pontryagin class.

  2. Atomic Higgsings of 6D SCFTs II: Induced Flows

    hep-th 2025-01 conditional novelty 6.0 of 10

    For 6d SCFTs, atomic endpoint-changing Higgsings (induced flows) are identified with induced nilpotent orbits, and an analogous induction of discrete E8 homomorphisms is physically defined for orbi-instanton theories.

  3. A Pathway to Decay and Fission of Orthosymplectic Quiver Theories

    hep-th 2024-12 conditional novelty 6.0 of 10

    An orthosymplectic extension of the Decay and Fission algorithm is proposed, validated on class S and 6d orbi-instanton quivers, and used to predict new Higgs branch RG flows.

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