On Isolated Conformal Fixed Points and Noncritical String Theory

TL;DR

This paper explores the gravity duals of certain conformal field theories using six-dimensional noncritical string theory, finding AdS solutions with constant radii and parameters from brane configurations.

Contribution

It introduces new AdS solutions in noncritical string theory with constant radii, including a free parameter from uncharged branes, advancing the understanding of gravity duals at fixed points.

Findings

Found constant dilaton solutions satisfying equations of motion and BPS equations.

Discovered several AdS_p×S^q solutions with constant radii.

Solutions have curvature at the string scale.

Abstract

We search for the gravity description of unidentified field theories at their conformal fixed points by studying the low energy effective action of six dimensional noncritical string theory. We find constant dilaton solutions by solving both the equations of motion and BPS equations. Our solutions include a free parameter provided by a stack of uncharged space filling branes. We find several AdS_p\times S^q solutions with constant radii for AdS_p and S^q. The curvature of the solutions are of the order of the string scale.