Semiclassical strings in marginally deformed toric AdS/CFT

TL;DR

This paper explores string solutions in beta-deformed Sasaki-Einstein backgrounds, revealing how BPS and non-BPS strings behave and exist only at specific deformation parameters, with implications for dual field theories.

Contribution

It provides new insights into BPS and non-BPS string solutions in deformed geometries and their dependence on the deformation parameter, extending previous AdS/CFT analyses.

Findings

BPS strings are located on submanifolds where U(1) circles shrink to zero.

BPS solutions exist only at specific deformation parameter values.

Non-BPS strings' dispersion relations are derived and compared.

Abstract

We study string solutions in the beta-deformed Sasaki-Einstein gauge/gravity dualities. We find that the BPS point-like strings move in the submanifolds where the two U(1) circles shrink to zero size. In the corresponding T^3 fibration description, the strings live on the edges of the polyhedron, where the T^3 fibration degenerates to T^1. Moreover, we find that for each deformed Sasaki-Einstein manifold the BPS string solutions exist only for particular values of the deformation parameter. Our results imply that in the dual field theory the corresponding BPS operators exist only for these particular values of the deformation parameter we find. We also examine the non-BPS strings, derive their dispersion relations and compare them with the undeformed ones. Finally, we comment on the range of the validity of our solutions and their dependence on the deformation parameter.