Lattice studies of supersymmetric gauge theories

D Schaich - The European Physical Journal Special Topics, 2023 - Springer
Supersymmetry plays prominent roles in the study of quantum field theory and in many
proposals for potential new physics beyond the standard model. Lattice field theory provides …

supersymmetry on a space-time lattice

S Catterall, D Schaich, PH Damgaard, T DeGrand… - Physical Review D, 2014 - APS
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 …

Loop equations and bootstrap methods in the lattice

PD Anderson, M Kruczenski - Nuclear Physics B, 2017 - Elsevier
Pure gauge theories can be formulated in terms of Wilson Loops by means of the loop
equation. In the large-N limit this equation closes in the expectation value of single loops. In …

Three-dimensional super-Yang-Mills theory on the lattice and dual black branes

S Catterall, J Giedt, RG Jha, D Schaich, T Wiseman - Physical Review D, 2020 - APS
In the large-N and strong-coupling limit, maximally supersymmetric SU (N) Yang-Mills theory
in (2+ 1) dimensions is conjectured to be dual to the decoupling limit of a stack of N D2 …

Progress and prospects of lattice supersymmetry

D Schaich - arXiv preprint arXiv:1810.09282, 2018 - arxiv.org
Supersymmetry plays prominent roles in the study of quantum field theory and in many
proposals for potential new physics beyond the standard model, while lattice field theory …

Supersymmetry on the lattice

G Bergner, S Catterall - International Journal of Modern Physics A, 2016 - World Scientific
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 …

Lifting flat directions in lattice supersymmetry

S Catterall, D Schaich - Journal of High Energy Physics, 2015 - Springer
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 …

Holography from lattice = 4 super Yang-Mills

S Catterall, J Giedt, GC Toga - Journal of High Energy Physics, 2023 - Springer
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 …

Recent progress in lattice supersymmetry: from lattice gauge theory to black holes

D Kadoh - PoS, 2016 - inspirehep.net
Supersymmetry (SUSY) is a fascinating topic in theoretical physics, because of its unique
and counterintuitive properties. It is expected to emerge as new physics beyond the …

Nonperturbative phase diagram of two-dimensional super-Yang-Mills theory

NS Dhindsa, RG Jha, A Joseph, D Schaich - Physical Review D, 2024 - APS
We consider two-dimensional N=(2, 2) Yang-Mills theory with gauge group SU (N) in
Euclidean signature compactified on a torus with thermal fermion boundary conditions …