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

@article{Honda2013DirectTO,
  title={Direct test of the AdS/CFT correspondence by Monte Carlo studies of \$ \mathcal\{N\}=4 \$ super Yang-Mills theory},
  author={Masazumi Honda and Goro Ishiki and Sang-Woo Kim and Jun Nishimura and Asato Tsuchiya},
  journal={Journal of High Energy Physics},
  year={2013},
  volume={2013},
  pages={1-38}
}
A bstractWe perform nonperturbative studies of $ \mathcal{N}=4 $ super Yang-Mills theory by Monte Carlo simulation. In particular, we calculate the correlation functions of chiral primary operators to test the AdS/CFT correspondence. Our results agree with the predictions obtained from the AdS side that the SUSY non-renormalization property is obeyed by the three-point functions but not by the four-point functions investigated in this paper. Instead of the lattice regularization, we use a novel… Expand
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References

SHOWING 1-10 OF 139 REFERENCES
Perturbative tests for a large-N reduced model of $ \mathcal{N} = {4} $ super Yang-Mills theory
A bstractWe study a non-perturbative formulation of $ \mathcal{N} = {4} $ super Yang-Mills theory (SYM) on R × S3 in the planar limit proposed in arXiv:0807.2352. This formulation is based on theExpand
Testing the AdS/CFT correspondence by Monte Carlo calculation of BPS and non-BPS Wilson loops in 4d N=4 super-Yang-Mills theory
We test the AdS/CFT correspondence by calculating Wilson loops in N = 4 super Yang-Mills theory on R×S3 in the planar limit. Our method is based on a novel large-N reduction, which reduces theExpand
Monte Carlo studies of 3d N=6 SCFT via localization method
We perform Monte Carlo study of the 3d N=6 superconformal U(N)*U(N) Chern-Simons gauge theory (ABJM theory), which is conjectured to be dual to M-theory or type IIA superstring theory on certain AdSExpand
A Monte-Carlo study of the AdS/CFT correspondence: an exploration of quantum gravity effects
In this paper we study the AdS/CFT correspondence for = 4 SYM with gauge group U(N), compactified on S3 in four dimensions using Monte-Carlo techniques. The simulation is based on a particularExpand
Numerical studies of the ABJM theory for arbitrary N at arbitrary coupling constant
A bstractWe show that the ABJM theory, which is an $ \mathcal{N} = {6} $ superconformal U(N) × U(N) Chern-Simons gauge theory, can be studied for arbitrary N at arbitrary coupling constant byExpand
Review of AdS/CFT Integrability, Chapter I.1: Spin Chains in $${\mathcal{N}=4}$$ Super Yang-Mills
In this chapter of Review of AdS/CFT Integrability we introduce $${\mathcal{N}=4}$$ Super Yang-Mills. We discuss the global superalagebra PSU(2, 2|4) and its action on gauge invariant operators. WeExpand
Testing a novel large-N reduction for Script N = 4 super Yang-Mills theory on R × S3
Recently a novel large-N reduction has been proposed as a maximally supersymmetric regularization of = 4 super Yang-Mills theory on R × S3 in the planar limit. This proposal, if it works, will enableExpand
A non-perturbative formulation of N=4 super Yang-Mills theory based on the large-N reduction
We study a non-perturbative formulation of N=4 super Yang-Mills theory (SYM) on RxS^3 proposed in arXiv:0807.2352. This formulation is based on the large-N reduction, and the theory can be describedExpand
Direct test of the gauge-gravity correspondence for Matrix theory correlation functions
A bstractWe study correlation functions in (0 + 1)-dimensional maximally supersym-metric U(N ) Yang-Mills theory, which was proposed by Banks et al. as a non-perturbative definition of 11-dimensionalExpand
Wilson Loops in N=4 Supersymmetric Yang--Mills Theory
Perturbative computations of the expectation value of the Wilson loop in N=4 supersymmetric Yang-Mills theory are reported. For the two special cases of a circular loop and a pair of anti-parallelExpand
...
1
2
3
4
5
...