A non-perturbative formulation of N=4 super Yang-Mills theory based on the large-N reduction

Abstract

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 described as a particular large-N limit of the plane wave matrix model (PWMM), which is obtained by dimensionally reducing the original theory over S^3. In this paper, we perform some tests for this proposal. We construct an operator in the PWMM that corresponds to the Wilson loop in SYM in the continuum limit and calculate the vacuum expectation value of the operator for the case of the circular contour. We find that our result indeed agrees with the well-known result first obtained by Erickson, Semenoff and Zarembo. We also compute the beta function at the 1-loop level based on this formulation and see that it is indeed vanishing.

43 pages, 7 figures, v2 : 2 figures and some comments added

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Cited by in corpus (8)

• Exact results for perturbative partition functions of theories with SU(2|4) symmetry
• Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
• Non-perturbative construction of 2D and 4D supersymmetric Yang-Mills theories with 8 supercharges
• Lattice Formulation for 2d N=(2,2), (4,4) Super Yang-Mills Theories without Admissibility Conditions
• Large-N reduction for N=2 quiver Chern-Simons theories on S^3 and localization in matrix models
• Localization and Large N reduction on S^3 for the Planar and M-theory limit
• Lattice formulation of two-dimensional N=(2,2) super Yang-Mills with SU(N) gauge group
• The origin of space-time as seen from matrix model simulations