Investigations of supersymmetric Yang--Mills theories

Angel, Sherletov,; Schaich, David

doi:10.48550/arxiv.2201.08626

Cited by 1 publication

(4 citation statements)

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“…Supersymmetry-preserving twisted formulations (discussed by Refs. [26,117,118]) are even more important than in two dimensions, and are used by all numerical calculations so far [119,120]. Figure 2 presents some results from these works, investigating the Q = 16 SYM bosonic action that holography relates to the internal energy of the dual black brane geometry in supergravity.…”

Section: +1 Dimensionsmentioning

confidence: 99%

“…Ref. [120] also presents initial investigations of Q = 8 SYM in three dimensions, for which new code is being developed within the publicly available SUSY LATTICE parallel software package for twisted lattice supersymmetry [77,122].…”

Section: +1 Dimensionsmentioning

confidence: 99%

“…Existing numerical calculations [199], and work in progress [120], employ a quiver construction of Q = 4 superQCD in two dimensions [192,193], based on the twisted formulation introduced in Sect. 2.2.…”

Section: Supersymmetric Qcdmentioning

confidence: 99%

“…Left: For a fixed 't Hooft coupling λ lat = 0.5, only per-mille-level fluctuations are observed for U(N ) gauge groups with N = 2, 3 and 4, up to the largest accessible volumes. Right: For a fixed 4 4 lattice volume, the U(2) phase fluctuations increase significantly for stronger couplings, which obstructs studies of λ lat 4 with this lattice action limit [34,42,52,84,98,99,107,116,120]. Lowerdimensional systems can also be used as testbeds for different algorithmic approaches, such as the complex Langevin method used to explore spontaneous supersymmetry breaking in Ref.…”

Section: Sign Problemsmentioning

confidence: 99%

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Lattice studies of supersymmetric gauge theories

Schaich

2022

Eur. Phys. J. Spec. Top.

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Supersymmetry plays prominent roles in the study of quantum field theory and in many proposals for potential new physics beyond the standard model. Lattice field theory provides a non-perturbative regularization suitable for strongly interacting systems. This invited review briefly summarizes significant recent progress in lattice investigations of supersymmetric field theories, as well as some of the challenges that remain to be overcome. I focus on progress in three areas: supersymmetric Yang–Mills (SYM) theories in fewer than four space-time dimensions, as well as both minimal $${\mathcal {N}} = 1$$ N = 1 SYM and maximal $${\mathcal {N}} = 4$$ N = 4 SYM in four dimensions. I also highlight superQCD and sign problems as prominent challenges that will be important to address in future work.

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