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3d N=4 super-Yang-Mills on a lattice.

Giedt, Joel and Lipstein, Arthur E. (2018) '3d N=4 super-Yang-Mills on a lattice.', Journal of high energy physics., 2018 (3). p. 162.


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.

Item Type:Article
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Publisher 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.
Date accepted:15 March 2018
Date deposited:03 April 2018
Date of first online publication:27 March 2018
Date first made open access:No date available

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