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arxiv: 1406.6251 · v1 · pith:3NGN7AYKnew · submitted 2014-06-24 · ✦ hep-th · gr-qc· math.CO

Scale-dependent Hausdorff dimensions in 2d gravity

J. Ambjorn , T. Budd , Y. Watabiki This is my paper
classification ✦ hep-th gr-qcmath.CO
keywords dimensionsdynamicalensemblesgeometrieshausdorfftriangulationsappropriateassociated
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By appropriate scaling of coupling constants a one-parameter family of ensembles of two-dimensional geometries is obtained, which interpolates between the ensembles of (generalized) causal dynamical triangulations and ordinary dynamical triangulations. We study the fractal properties of the associated continuum geometries and identify both global and local Hausdorff dimensions.

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    Topological recursion solves Schwinger-Dyson equations for multicritical and causal dynamical triangulations in 2D quantum gravity, yielding explicit amplitudes.