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arxiv: 1202.4435 · v2 · pith:QGT5OO3Knew · submitted 2012-02-20 · ✦ hep-th · gr-qc· hep-lat

New multicritical matrix models and multicritical 2d CDT

Jan Ambjorn , Lisa Glaser , Andrzej Gorlich , Yuki Sato This is my paper
classification ✦ hep-th gr-qchep-lat
keywords multicriticalmodelsbehaviorlimitmatrixscalingso-calledagrees
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We define multicritical CDT models of 2d quantum gravity and show that they are a special case of multicritical generalized CDT models obtained from the new scaling limit, the so-called "classical" scaling limit, of matrix models. The multicritical behavior agrees with the multicritical behavior of the so-called branched polymers.

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