Review of lattice supersymmetry and gauge-gravity duality

A Joseph - International Journal of Modern Physics A, 2015 - World Scientific
We review the status of recent investigations on validating the gauge-gravity duality
conjecture through numerical simulations of strongly coupled maximally supersymmetric …

Twisted supersymmetries in lattice = 4 super Yang-Mills theory

S Catterall, J Giedt, A Joseph - Journal of High Energy Physics, 2013 - Springer
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 …

On the sign problem in 2D lattice super Yang-Mills

S Catterall, R Galvez, A Joseph, D Mehta - Journal of High Energy Physics, 2012 - Springer
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 …

Phase structure of lattice super Yang-Mills

S Catterall, PH Damgaard, T DeGrand… - Journal of High Energy …, 2012 - Springer
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 …

Supersymmetric gauge theory on the graph

S Matsuura, K Ohta - Progress of Theoretical and Experimental …, 2022 - academic.oup.com
We consider two-dimensional supersymmetric gauge theory on discretized Riemann
surfaces. We find that the discretized theory can be efficiently described by using graph …

Direct test of the AdS/CFT correspondence by Monte Carlo studies of super Yang-Mills theory

M Honda, G Ishiki, SW Kim, J Nishimura… - Journal of High Energy …, 2013 - Springer
A bstract We perform nonperturbative studies of\(\mathcal {N}= 4\) super Yang-Mills theory
by Monte Carlo simulation. In particular, we calculate the correlation functions of chiral …

Mass spectrum of 2-dimensional super Yang-Mills theory on the lattice

D August, M Steinhauser, BH Wellegehausen… - Journal of High Energy …, 2019 - Springer
A bstract In the present work we analyse\(\mathcal {N}=\left (2, 2\right)\) supersymmetric
Yang-Mills (SYM) theory with gauge group SU (2) in two dimensions by means of lattice …

An object oriented code for simulating supersymmetric Yang–Mills theories

S Catterall, A Joseph - Computer Physics Communications, 2012 - Elsevier
We present SUSY_LATTICE–a C++ program that can be used to simulate certain classes of
supersymmetric Yang–Mills (SYM) theories, including the well known N= 4 SYM in four …

[PDF][PDF] Lattice formulation of three-dimensional gauge theory with fundamental matter fields

A Joseph - arXiv preprint arXiv:1307.3281, 2013 - arxiv.org
arXiv:1307.3281v2 [hep-lat] 15 Sep 2013 Page 1 arXiv:1307.3281v2 [hep-lat] 15 Sep 2013
Preprint typeset in JHEP style - HYPER VERSION LA-UR-13-24744 Lattice formulation of …

Supersymmetric gauge theories on the lattice: Pfaffian phases and the Neuberger 0/0 problem

D Mehta, S Catterall, R Galvez, A Joseph - arXiv preprint arXiv:1112.5413, 2011 - arxiv.org
Recently a class of supersymmetric gauge theories have been successfully implemented on
the lattice. However, there has been an ongoing debate on whether lattice versions of some …