N=4 supersymmetry on a space-time lattice

Catterall, Simon, Schaich, David ORCID: 0000-0002-9826-2951, Damgaard, Poul H, DeGrand, Thomas and Giedt, Joel (2014) N=4 supersymmetry on a space-time lattice PHYSICAL REVIEW D, 90 (6). 065013-. ISSN 1550-7998, 1550-2368

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Abstract

Maximally supersymmetric Yang-Mills theory in four dimensions can be formulated on a space-time lattice while exactly preserving a single supersymmetry. Here we explore in detail this lattice theory, paying particular attention to its strongly coupled regime. Targeting a theory with gauge group SU(N), the lattice formulation is naturally described in terms of gauge group U(N). Although the U(1) degrees of freedom decouple in the continuum limit we show that these degrees of freedom lead to unwanted lattice artifacts at strong coupling. We demonstrate that these lattice artifacts can be removed, leaving behind a lattice formulation based on the SU(N) gauge group with the expected apparently conformal behavior at both weak and strong coupling.

Item Type:	Article
Additional Information:	keywords: printed, read, susy lattice, static potential, susy N=4
Uncontrolled Keywords:	hep-lat, hep-lat, hep-th
Depositing User:	Symplectic Admin
Date Deposited:	09 Mar 2020 09:00
Last Modified:	16 Jun 2026 11:19
DOI:	10.1103/PhysRevD.90.065013
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3078198
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