Results from lattice simulations of N=4 supersymmetric Yang--Mills

Abstract

We report recent results and developments from our ongoing lattice studies of $\mathcal{N}=4$ supersymmetric Yang--Mills theory. These include a proof that only a single fine-tuning needs to be performed, so long as the moduli space is not lifted by nonperturbative effects. We extend our investigations of supersymmetry restoration in the continuum limit by initiating Monte Carlo renormalization group studies. We present additional numerical evidence that the lattice theory does not suffer from a sign problem. Finally we study the static potential, which we find to be Coulombic at both weak and strong coupling. We compare the static potential Coulomb coefficients to perturbation theory, including initial results for N=3 colors in addition to N=2.

arXiv comment19-page combined contribution to the proceedings of Lattice 2014, for talks by SC, JG & DS. v2: Eq. 6.3 corrected, reference added

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Cited by in corpus (6)

• Three-dimensional super-Yang--Mills theory on the lattice and dual black branes
• Lattice studies of supersymmetric gauge theories
• Supersymmetric QCD: Renormalization and Mixing of Composite Operators
• Lattice perturbation theory for the null cusp string
• Latest results from lattice N=4 supersymmetric Yang--Mills
• Aspects of lattice N=4 supersymmetric Yang--Mills