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

Giedt, Joel; Lipstein, Arthur E.

Abstract

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.

Citation

Giedt, J., & Lipstein, A. E. (2018). 3d N=4 Super-Yang-Mills on a Lattice. Journal of High Energy Physics, 2018(3), Article 162. https://doi.org/10.1007/jhep03%282018%29162

• 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
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2018
• Issue: 3
• Article Number: 162
• DOI: https://doi.org/10.1007/jhep03%282018%29162
• Public URL: https://durham-repository.worktribe.com/output/1336633