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Lattice N=4 three-dimensional super-Yang-Mills · Around

2018

Lattice N=4 three-dimensional super-Yang-Mills

Giedt, Joel, Lipstein, Arthur, Martin, Paul

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We describe our recent work on the lattice formulation of N=4 three-dimensional super-Yang-Mills.

Our formulation was based on the Donaldson-Witten twist, but we have also been studying the formulation based on the Blau-Thompson twist by Joseph.
We find in the latter case there is a single counterterm necessary to restore supersymmetry in the continuum limit, and that this counterterm can be computed with a two-loop calculation in lattice perturbation theory.
It is crucial that this three-dimensional model is super-renormalizable.

Built on

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K. A. Intriligator and N. Seiberg, Mirror symmetry in three-dimensional gauge theories , Phys. Lett. B387
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M. Blau and G. Thompson, Aspects of N(T) ¿= two topological gauge theories and D-branes , Nucl. Phys. B492
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Earlier work this paper cites.

Similar

A. G. Cohen, D. B. Kaplan, E. Katz and M. Unsal, Supersymmetry on a Euclidean space-time lattice. 2. Target theories with eight supercharges , JHEP 12
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A. D’Adda, I. Kanamori, N. Kawamoto and K. Nagata, Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions , Nucl. Phys. B798
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2008
Cited alongside, same era.
J. Giedt, A. Lipstein and P. Martin, to appear
Cited in the paper.

Then

A. Joseph, Lattice formulation of three-dimensional 𝒩 = 4 {\cal N}=4 gauge theory with fundamental matter fields , JHEP 09
Original
2013
Later among the works it cites.
N. Afshordi, C. Coriano, L. Delle Rose, E. Gould and K. Skenderis, From Planck data to Planck era: Observational tests of Holographic Cosmology , Phys. Rev. Lett. 118
Original
2017
Later among the works it cites.
J. Giedt and A. E. Lipstein, 3d 𝒩 = 4 \mathcal{N}=4 super-Yang-Mills on a lattice , JHEP 03
Original
2018
Closest in time.

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