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Magnetic quivers and negatively charged branes

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arxiv 2208.07270 v2 pith:POTPHIVP submitted 2022-08-15 hep-th

Amihay Hanany , Marcus Sperling This is my paper · ORCID
classification hep-th
keywords typebrancheshiggsboundarybranebranesconditionsmagnetic
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abstract

The Higgs branches of the world-volume theories for multiple M5 branes on an $A_k$ or $D_k$-type ALE space are known to host a variety of fascinating properties, such as the small $E_8$ instanton transition or the discrete gauging phenomena. This setup can be further enriched by the inclusion of boundary conditions, which take the form of $SU(k)$ or $SO(2k)$ partitions, respectively. Unlike the $A$-type case, $D$-type boundary conditions are eventually accompanied by negative brane numbers in the Type IIA brane realisation. While this may seem discouraging at first, we demonstrate that these setups are well-suited to analyse the Higgs branches via magnetic quivers. Along the way, we encounter multiple models with previously neglected Higgs branches that exhibit exciting physics and novel geometric realisations. Nilpotent orbits, Slodowy slices, and symmetric products.

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Cited by 3 Pith papers

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  1. Lusztig's special pieces conjecture

    math.RT 2026-07 conditional novelty 8.0 of 10

    Proof of Lusztig's special pieces conjecture: every special nilpotent piece is a quotient of a smooth G-variety by a finite group, with an explicit orbit-closure construction and non-uniqueness of the solution.

  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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