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Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms

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arxiv 2211.08019 v2 pith:RIPSQ6BS submitted 2022-11-15 math.DG

Michela Egidi , Katie Gittins , Georges Habib , Norbert Peyerimhoff This is my paper · ORCID
classification math.DG
keywords laplacianmagneticdifferentialformshodgefunctionsconsiderdifferences
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In this paper we introduce the magnetic Hodge Laplacian, which is a generalization of the magnetic Laplacian on functions to differential forms. We consider various spectral results, which are known for the magnetic Laplacian on functions or for the Hodge Laplacian on differential forms, and discuss similarities and differences of this new ``magnetic-type'' operator.

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  1. Magnetised Bounds for Conformal Field Theories

    hep-th 2025-05 accept novelty 7.0 of 10

    Parity-invariant 3d CFTs gapped by a magnetic field satisfy c0 <= 0 and additional Wilson-coefficient bounds from dispersion relations, implying diamagnetism and positive background-monopole scaling dimensions.

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