AdS/CFT correspondence as a consequence of scale invariance

Abstract

We study an anisotropic scale transformation in the worldsheet description of D3-branes in type IIB theory, and show that the transformation is really a symmetry in a region near D3-branes. AdS/CFT correspondence follows from this symmetry. We will explicitly show that Wilson loops in N = 4 supersymmetric Yang–Mills theory and minimal surfaces in AdS 5 are related by the symmetry. The functional form of a supersymmetric Wilson loop operator is naturally derived from our worldsheet point of view.