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3d N=4 Super-Yang-Mills on a Lattice

Giedt, Joel; Lipstein, Arthur E.

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Joel Giedt


In this paper we explore a new approach to studying three-dimensional N=4 super-Yang-Mills on a lattice. Our strategy is to complexify the Donaldson-Witten twist of four-dimensional N=2 super-Yang-Mills to make it amenable to a lattice formulation and we find that lattice gauge invariance forces the model to live in at most three dimensions. We analyze the renormalization of the lattice theory and show that uncomplexified three-dimensional N=4 super-Yang-Mills can be reached in the continuum limit by supplementing the lattice action with appropriate mass terms.


Giedt, J., & Lipstein, A. E. (2018). 3d N=4 Super-Yang-Mills on a Lattice. Journal of High Energy Physics, 2018(3), Article 162.

Journal Article Type Article
Acceptance Date Mar 15, 2018
Online Publication Date Mar 27, 2018
Publication Date Mar 27, 2018
Deposit Date Apr 3, 2018
Publicly Available Date Apr 3, 2018
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2018
Issue 3
Article Number 162


Published Journal Article (408 Kb)

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Copyright Statement
© The Author(s) 2018 This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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