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6 papers · 1 filter
First results from simulations of supersymmetric lattices
Simon Catterall
We conduct the first numerical simulations of lattice theories with exact supersymmetry arising from the orbifold constructions of \cite{Cohen:2003xe,Cohen:2003qw,Kaplan:2005ta}. W…
Lattice super-Yang-Mills using domain wall fermions in the chiral limit
Joel Giedt, Richard Brower, Simon Catterall +2
Lattice N=1 super-Yang-Mills theory formulated using Ginsparg-Wilson fermions provides a rigorous non-perturbative definition of the continuum theory that requires no fine-tuning a…
Lattice Actions for Yang-Mills Quantum Mechanics with Exact Supersymmetry
Simon Catterall, Anosh Joseph
We derive lattice actions for Yang-Mills quantum mechanics for models with $\cQ=4, 8$ and 16 supercharges which possess an exact supersymmetry at non-zero lattice spacing. These ar…
Towards lattice simulation of the gauge theory duals to black holes and hot strings
Simon Catterall, Toby Wiseman
A generalization of the AdS/CFT conjecture postulates a duality between IIA string theory and 16 supercharge Yang-Mills quantum mechanics in the large N 't Hooft limit. At low temp…
A Critique of the Link Approach to Exact Lattice Supersymmetry
Falk Bruckmann, Simon Catterall, Mark de Kok
We examine the link approach to constructing a lattice theory of N=2 super Yang Mills theory in two dimensions. The goal of this construction is to provide a discretization of the…
Exact Lattice Supersymmetry from Topological Field Theory
Simon Catterall
We discuss the connection between supersymmetric field theories and topological field theories and show how this connection may be used to construct local lattice field theories wh…