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The toroidal Hausdorff dimension of 2d Euclidean quantum gravity

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arxiv 1305.3674 v1 pith:NP3OH532 submitted 2013-05-16 hep-th gr-qchep-lat

Jan Ambjorn , Timothy Budd This is my paper · ORCID
classification hep-thgr-qchep-lat
keywords dimensioneuclideangravityhausdorfflengthsquantumagreementcentral
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The lengths of shortest non-contractible loops are studied numerically in 2d Euclidean quantum gravity on a torus coupled to conformal field theories with central charge less than one. We find that the distribution of these geodesic lengths displays a scaling in agreement with a Hausdorff dimension given by the formula of Y. Watabiki.

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  1. Landau theory for lattice higher gauge theory and Kramers-Wannier duality

    hep-th 2025-07 conditional novelty 5.0 of 10

    Lattice higher gauge theories are rewritten as Landau field theories on closed surfaces, yielding a unified phase description and an infrared duality between higher-form Landau theories.

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