4 papers
Random Matrices, Boundaries and Branes
Benjamin Niedner
This thesis is devoted to the application of random matrix theory to the study of random surfaces, both discrete and continuous; special emphasis is placed on surface boundaries an…
Wronskians, dualities and FZZT-Cardy branes
Chuan-Tsung Chan, Hirotaka Irie, Benjamin Niedner +1
The resolvent operator plays a central role in matrix models. For instance, with utilizing the loop equation, all of the perturbative amplitudes including correlators, the free-ene…
Sums of Random Matrices and the Potts Model on Random Planar Maps
Max R. Atkin, Benjamin Niedner, John F. Wheater
We compute the partition function of the -states Potts model on a random planar lattice with allowed, equally weighted colours on a connected boundary. To this end, we…
Boundary States of the Potts Model on Random Planar Maps
Max Atkin, Benjamin Niedner, John Wheater
We revisit the 3-states Potts model on random planar triangulations as a Hermitian matrix model. As a novelty, we obtain an algebraic curve which encodes the partition function on…