3 papers
hep-th2026
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…
hep-lat2025
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…
hep-th2024
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…