A note on the Near Flat Limit for strings in the Maldacena-Nunez background

TL;DR

This paper explores the near flat space limit of string theory on the Maldacena-Nunez background, revealing potential integrable subsectors and extending the understanding of string/gauge duality in less supersymmetric settings.

Contribution

It introduces the near flat limit reduction for strings on the Maldacena-Nunez background, showing similarities to the original model and suggesting integrability in this context.

Findings

The reduced model interpolates between the pp-wave limit and a magnon subsector.

Structural similarities suggest possible integrable subsectors.

Extends near flat space analysis to less supersymmetric backgrounds.

Abstract

Recently Maldacena and Swanson suggested a new limit of string theory on the $AdS_5\times S^5$ background, the so called near flat space limit. The resulting reduced theory interpolates between the pp-wave limit and giant magnon type string solutions. It was shown that the reduced model possess many features of the original theory. On the other hand, theories with less supersymmetry are of great importance for the string/gauge theory correspondence. In this paper we study the near flat limit reduction of string theory on the Maldacena-Nunez background, which is dual to $\N=1$ Yang-Mills theory. The reduced model interpolates between the pp-wave limit and a certain magnon type subsector of the theory. The similarity of the structures of the reduced model obtained here and that by Maldacena and Swanson indicates the possibility of existence of integrable subsectors of strings on the Maldacena-Nunez background.