Gauge/string correspondence in curved space

TL;DR

This paper explores the gauge/string duality in curved space by analyzing Klebanov-Tseytlin cascading gauge theory on S^3, focusing on string states and their dual operators in a deformed superconformal setting.

Contribution

It extends the gauge/string correspondence to curved backgrounds and identifies dual gauge theory operators for string states in a non-conformal, deformed setting.

Findings

Identification of dual gauge theory operators for string states.

Analysis of the regime where the gauge theory is a small deformation.

Study of closed string states on the leading Regge trajectory.

Abstract

We discuss Gubser-Klebanov-Polyakov proposal for the gauge/string theory correspondence for gauge theories in curved space. Specifically, we consider Klebanov-Tseytlin cascading gauge theory compactified on S^3. We explain regime when this gauge theory is a small deformation of the superconformal N=1 gauge theory on the world volume of regular D3-branes at the tip of the conifold. We study closed string states on the leading Regge trajectory in this background, and attempt to identify the dual gauge theory twist two operators.