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A homotopy-theoretic context for CKM/Birkhoff renormalization

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arxiv 2307.10148 v6 pith:BQFNLSUU submitted 2023-07-19 math.AT

Jack Morava This is my paper · ORCID
classification math.AT
keywords renormalizationadvicebirkhoffbundlecommentscomplexconnectioncontext
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abstract

We propose a geometric object slightly subtler than a complex line bundle with connection, a two-sphere fibration with structure group $\Omega^2_e S^2$, to parametrize a space of dimensional regularizations in the metaphysics of renormalization theory. Comments, corrections, advice and suggestions are very welcome. To be continued.

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Cited by 2 Pith papers

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

  1. Fractional Quantum Hall Anyons via the Algebraic Topology of Exotic Flux Quanta

    cond-mat.mes-hall 2025-05 conditional novelty 6.0 of 10

    Fractional quantum Hall anyons are re-derived from a non-Lagrangian flux quantization in 2-Cohomotopy, with new predictions for torus degeneracy and defect anyons.

  2. Boundary framings for locally conformally symplectic four-manifolds

    math.AT 2025-02 reject novelty 5.0 of 10

    The paper proposes a rational homotopy model for a classifying space of locally conformally symplectic four-manifolds and a cobordism category of three-manifolds with Omega^2 S^2-bundle framings, but the standalone te...

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