Worldsheet Analysis of Gauge/Gravity Dualities

TL;DR

This paper explores gauge/gravity dualities through worldsheet analysis, extending previous work to lower dimensions and establishing new links between Wilson loops, minimal surfaces, and p-brane properties.

Contribution

It refines and generalizes the worldsheet approach to gauge/gravity dualities, including lower-dimensional cases and relations between string energy and p-brane mass.

Findings

Established correspondence between Wilson loops and minimal surfaces in black p-brane backgrounds.

Generalized scale transformations can be used even when scale invariance is absent.

Linked open string energy density to the ADM mass of p-branes.

Abstract

Gauge/gravity dualities are investigated from the worldsheet point of view. In [arXiv:0706.1163] and [arXiv:0708.2463], a duality between 4d SYM and supergravity on AdS_5xS^5 has been partly explained by using an anisotropic scale invariance of worldsheet theory. In this paper, we refine the argument and generalize it to lower dimensional cases. We show the correspondence between the Wilson loops in (p+1)-d SYM and the minimal surface in the black p-brane background. Although the scale invariance does not exist in these cases, the generalized scale transformation can be utilized. We also find that the energy density of open strings can be related to the ADM mass of the p-brane without relying on this symmetry.