Abstract

A fine-tuning free lattice formulation of 4d N=4 SYM , if it exists, would be useful for nonperturbative tests of the AdS/CFT correspondence. However it is not successful so far. In this talk we point out string-inspired matrix model techniques are very useful for the nonperturbative formulation of 4d N=4 SYM . We construct a two-dimensional lattice with a plane wave deformation, from which two additional dimensions emerge through the Myers effect. In other words we construct a D1-brane theory from which a D3-brane theory comes out. We show that this formulation does not require any fine tuning at least to all order in perturbation theory. If time permits, I show some numerical results of 1d and 2d SYM theories, in order to demonstrate how numerical simulation works in the context of the AdS/CFT and the gauge/gravity duality.