New multicritical matrix models and multicritical 2d CDT

Abstract

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.

16 pages, 4 figures. References added

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Cited by in corpus (16)

• Trees and spatial topology change in CDT
• Quantum canonical tensor model and an exact wave function
• On the Quantum Geometry of Multi-critical CDT
• 2d CDT with gauge fields
• A model for emergence of space and time
• Bounds on the critical line via transfer matrix methods for an Ising model coupled to causal dynamical triangulations
• Extrinsic curvature in 2-dimensional Causal Dynamical Triangulation
• A restricted dimer model on a 2-dimensional random causal triangulation
• The spectral dimension in 2D CDT gravity coupled to scalar fields
• Growth of uniform infinite causal triangulations
• Coupling Dimers to CDT
• The cylinder amplitude in the Hard Dimer model on 2D Causal Dynamical Triangulations
• Criticality at absolute zero from Ising model on two-dimensional dynamical triangulations
• Towards elucidation of zero-temperature criticality of Ising model on 2d DT
• Endeavours in Discrete Lorentzian Geometry; A thesis in five papers
• Analytical approaches to 2D CDT coupled to matter