23 citations · 55 across the 6 of their papers we have counts for
6 papers
Supersymmetric lattice theories on curved space
David Berenstein, Simon Catterall
We show how to construct Hamiltonian lattice theories with one exact supersymmetry on arbitrary triangulations of curved space in any number of dimensions. Both bosons and fermions…
Symmetries and Anomalies of Hamiltonian Staggered Fermions
Simon Catterall, Arnab Pradhan, Abhishek Samlodia
We review the shift (translation) and time reversal symmetries of Hamiltonian staggered fermions and their connection to continuum symmetries concentrating in particular on the cas…
Staggered bosons and Kahler-Dirac bosons
David Berenstein, Simon Catterall, P. N. Thomas Lloyd
We describe a novel way to think about bosonic lattice theories in Hamiltonian form where each lattice site has only a half boson degree of freedom. The construction requires a non…
Minimal Dynamical Triangulations of Random Surfaces
M. J. Bowick, S. M. Catterall, G. Thorleifsson
We introduce and investigate numerically a minimal class of dynamical triangulations of two-dimensional gravity on the sphere in which only vertices of order five, six or seven are…
A Real-Space Renormalization Group for Random Surfaces
G. Thorleifsson, S. Catterall
We propose a new real-space renormalization group transformation for dynamical triangulations. It is shown to preserve geometrical exponents such as the string susceptibility and H…
The Phase Diagram of Crystalline Surfaces
K. N. Anagnostopoulos, M. J. Bowick, S. M. Catterall +2
We report the status of a high-statistics Monte Carlo simulation of non-self-avoiding crystalline surfaces with extrinsic curvature on lattices of size up to nodes. We impo…