A proposal of a fine tuning free formulation of 4d N=4 super Yang-Mills

TL;DR

This paper introduces a new nonperturbative formulation of 4d N=4 super Yang-Mills theory that avoids fine tuning by using a deconstruction approach, simplifying the action for easier numerical testing of AdS/CFT duality.

Contribution

It presents a novel deconstruction-based model for 4d N=4 super Yang-Mills that simplifies previous formulations and facilitates nonperturbative numerical studies.

Findings

Constructed a D1-brane from which a D3-brane theory emerges.

Simplified the action compared to previous models.

Enables easier numerical testing of AdS/CFT duality.

Abstract

Recently, a nonperturbative formulation of 4d N=4 super Yang-Mills theory which does not require fine tuning at least to all order in perturbation theory has been proposed by combining two-dimensional lattice and matrix model techniques. In this paper we provide an analogous model by utilizing deconstruction approach of Kaplan et al. Two-dimensional lattice with a plane wave deformation is deconstructed from a matrix model and 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. The action is much simpler than the previous formulation and hence numerical study, which enables us to test the AdS/CFT duality at fully nonperturbative level, becomes much easier.