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Inverses of Cartan Matrices of Lie Algebras and Lie Superalgebra

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abstract

We derive explicit formulas for the inverses of the Cartan matrices of the simple Lie algebras and the basic classical Lie superalgebras, as well as for their infinite generalizations.

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Atomic Higgsings of 6D SCFTs II: Induced Flows

hep-th · 2025-01-06 · conditional · novelty 6.0

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.

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  • Atomic Higgsings of 6D SCFTs II: Induced Flows hep-th · 2025-01-06 · conditional · none · ref 65 · internal anchor

    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.