An anisotropic hybrid non-perturbative formulation for 4D $ \mathcal{N} = {2} $ supersymmetric Yang-Mills theories

Abstract

We provide a simple non-perturbative formulation for non-commutative four-dimensional N = 2 supersymmetric Yang-Mills theories. The formulation is constructed by a combination of deconstruction (orbifold projection), momentum cut-off and matrix model techniques. We also propose a moduli fixing term that preserves lattice supersymmetry on the deconstruction formulation. Although the analogous formulation for four-dimensional N = 2 supersymmetric Yang-Mills theories is proposed also in [1], our action is simpler and better suited for computer simulations. Moreover, not only for the non-commutative theories, our formulation has a potential to be a non-perturbative tool also for the commutative four-dimensional N = 2 supersymmetric Yang-Mills theories. * takimi@theory.tifr.res.in

Direct test of the AdS/CFT correspondence by Monte Carlo studies of $ \mathcal{N}=4 $ super Yang-Mills theory

“…See also refs. [26,27,28,29,30,31,32,33,34,35,36] for recent works on lattice formulations of SUSY theories. As for 4d N = 4 SYM, any lattice formulations proposed so far seem to require fine-tuning of at least three parameters [37,38,39,40,41].…”

Gradient flow representation of the four-dimensional $\mathcal{N}=2$ super Yang–Mills supercurrent

“…See Refs. [40][41][42][43][44][45] for lattice formulations which are designed to simplify the fine tuning.…”