23 citations · 105 across the 17 of their papers we have counts for
8 papers · 1 filter
CDT coupled to dimer matter: An analytical approach via tree bijections
Max R. Atkin, Stefan Zohren
We review a recently obtained analytical solution of a restricted so-called hard dimers model coupled to two-dimensional CDT. The combinatorial solution is obtained via bijections…
Analytical approaches to 2D CDT coupled to matter
Max R. Atkin, Stefan Zohren
We review some recent results by Ambjorn et al. (1202.4435) and the authors (1202.4322,1203.5034) in which multicritical points of the CDT matrix model were found and in a particul…
FZZT Brane Relations in the Presence of Boundary Magnetic Fields
Max R. Atkin, Stefan Zohren
We show how a boundary state different from the (1,1) Cardy state may be realised in the (m,m+1) minimal string by the introduction of an auxiliary matrix into the standard two her…
On the Quantum Geometry of Multi-critical CDT
Max R. Atkin, Stefan Zohren
We discuss extensions of a recently introduced model of multi-critical CDT to higher multi-critical points. As in the case of pure CDT the continuum limit can be taken on the level…
An Analytical Analysis of CDT Coupled to Dimer-like Matter
Max R. Atkin, Stefan Zohren
We consider a model of restricted dimers coupled to two-dimensional causal dynamical triangulations (CDT), where the dimer configurations are restricted in the sense that they do n…
Applications of Random Graphs to 2D Quantum Gravity
Max R. Atkin
The central topic of this thesis is two dimensional Quantum Gravity and its properties. The term Quantum Gravity itself is ambiguous as there are many proposals for its correct for…
Continuum Random Combs and Scale Dependent Spectral Dimension
Max R Atkin, Georgios Giasemidis, John F Wheater
Numerical computations have suggested that in causal dynamical triangulation models of quantum gravity the effective dimension of spacetime in the UV is lower than in the IR. In th…
The Spectrum of FZZT Branes Beyond the Planar Limit
Max R. Atkin, John F. Wheater
Minimal string theory has a number of FZZT brane boundary states; one for each Cardy state of the minimal model. It was conjectured by Seiberg and Shih that all branes in a minimal…