On the pulsating strings in $AdS_5\times T^{1,1}$

TL;DR

This paper explores pulsating string solutions in the $AdS_5 imes T^{1,1}$ background, finds new solutions, and calculates energy corrections that relate to anomalous dimensions in the dual ${ m N}=1$ superconformal field theory.

Contribution

It introduces a generalized ansatz for pulsating strings and provides the first semi-classical quantization and energy corrections in this setting.

Findings

New pulsating string solutions in $AdS_5 imes T^{1,1}$

First semi-classical quantization and energy correction calculations

Insights into anomalous dimensions of dual gauge theory operators

Abstract

We study the class of pulsating strings on $AdS_5\times T^{1,1}$. Using a generalized ansatz for pulsating string configurations we find new solutions of this class. Further we quasi-classically quantize the theory and obtain the first corrections to the energy. The latter, due to AdS/CFT correspondence, is supposed to give the anomalous dimensions of operators of the gauge theory dual ${\cal N}=1$ superconformal field theory.