Non-critical supergravity (d>1) and holography

TL;DR

This paper explores supergravity solutions in non-critical string theories with RR forms, providing new backgrounds that could serve as holographic duals for gauge theories outside the traditional critical string framework.

Contribution

It introduces analytic and numerical supergravity solutions in non-critical string theories, expanding the landscape of holographic duals beyond critical string setups.

Findings

Found analytic $AdS_{p+2}\times S^{d-p-2}$ backgrounds.

Constructed numerical solutions with linear dilaton asymptotics.

Initiated analysis of gauge theory properties like Wilson loops and glueball spectra.

Abstract

In this paper we investigate the supergravity equations of motion associated with non-critical ($d>1$) type II string theories that incorporate RR forms. Using a superpotential formalism we determine several classes of solutions. In particular we find analytic backgrounds with a structure of $AdS_{p+2}\times S^{d-p-2}$ and numerical solutions that asymptote a linear dilaton with a topology of $R^{1,d-3}\times R \times S^1$. The SUGRA solutions we have found can serve as anti holographic descriptions of gauge theories in a large $N$ limit which is different than the one of the critical gauge/gravity duality. It is characterized by $N\rt \infty$ and $g_{YM}^2 N \sim 1$. We have made the first steps in analyzing the corresponding gauge theory properties like Wilson loops and the glue-ball spectra.