https://doi.org/10.1140/epjs/s11734-022-00708-1
Review
Lattice studies of supersymmetric gauge theories
Department of Mathematical Sciences, University of Liverpool, L69 7ZL, Liverpool, UK
a
david.schaich@liverpool.ac.uk
Received:
16
August
2022
Accepted:
20
October
2022
Published online:
16
November
2022
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 a non-perturbative regularization suitable for strongly interacting systems. This invited review briefly summarizes significant recent progress in lattice investigations of supersymmetric field theories, as well as some of the challenges that remain to be overcome. I focus on progress in three areas: supersymmetric Yang–Mills (SYM) theories in fewer than four space-time dimensions, as well as both minimal SYM and maximal
SYM in four dimensions. I also highlight superQCD and sign problems as prominent challenges that will be important to address in future work.
© The Author(s) 2022
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.