Maximally supersymmetric Yang–Mills theory in four dimensions can be formulated on a
space-time lattice while exactly preserving a single supersymmetry. Here we explore in …

Inspired by the ideas from topological field theory it is possible to rewrite the supersymmetric
charges of certain classes of extended supersymmetric Yang–Mills (SYM) theories in such a …

A bstract We study correlation functions in (0+ 1)-dimensional maximally supersym-metric U
(N) Yang-Mills theory, which was proposed by Banks et al. as a non-perturbative definition of …

We discuss the motivations, difficulties and progress in the study of supersymmetric lattice
gauge theories focusing in particular on 𝒩= 1 and 𝒩= 4 super-Yang–Mills in four …

A bstract We present a procedure to improve the lattice definition of\(\mathcal {N}= 4\)
supersymmetric Yang-Mills theory. The lattice construction necessarily involves U (1) flat …

A bstract Recently it has been shown how a topologically twisted version of\(\mathcal {N}\)=
4 super Yang-Mills may be discretized in such a way as to preserve one scalar …

A bstract In this paper we use lattice simulation to study four dimensional\(\mathcal {N}\)= 4
super Yang-Mills (SYM) theory. We have focused on the three color theory on lattices of size …

A bstract In recent years a new class of supersymmetric lattice theories have been proposed
which retain one or more exact supersymmetries for non-zero lattice spacing. Recently there …

A bstract We make a first study of the phase diagram of four-dimensional\(\mathcal {N}= 4\)
super Yang-Mills theory regulated on a space-time lattice. The lattice formulation we employ …

We perform a pilot study of the perturbative renormalization of a supersymmetric gauge
theory with matter fields on the lattice. As a specific example, we consider supersymmetric …