Near-flat space limit and Einstein manifolds

TL;DR

This paper investigates the near-flat space limit of string theory on AdS(5) times a generic 5-manifold with U(1)^3 symmetry, revealing similarities to the S(5) case and suggesting integrable subsectors in AdS/CFT.

Contribution

It extends the near-flat space limit analysis to a broad class of internal manifolds, showing consistent bosonic sectors and potential integrability in more general AdS/CFT setups.

Findings

The sigma model in the near-flat limit resembles that of AdS(5)xS(5).

For Sasaki-Einstein spaces like T(1,1), Y(p,q), L(p,q,r), the bosonic sector matches the S(5) case.

Indicates the presence of integrable subsectors in the AdS/CFT correspondence.

Abstract

We study the near-flat space limit for strings on AdS(5)xM(5), where the internal manifold M(5) is equipped with a generic metric with U(1)xU(1)xU(1) isometry. In the bosonic sector, the limiting sigma model is similar to the one found for AdS(5)xS(5), as the global symmetries are reduced in the most general case. When M(5) is a Sasaki-Einstein space like T(1,1), Y(p,q) and L(p,q,r), whose dual CFT's have N=1 supersymmetry, the near-flat space limit gives the same bosonic sector of the sigma model found for AdS(5)xS(5). This indicates the generic presence of integrable subsectors in AdS/CFT.