Oscillating Strings and Non-Abelian T-dual Klebanov-Witten Background

TL;DR

This paper investigates oscillating string solutions in the Klebanov-Witten background and its non-Abelian T-dual, analyzing energy relations and dual field theory implications.

Contribution

It presents the first detailed analysis of oscillating strings in the non-Abelian T-dual of the Klebanov-Witten background, revealing conditions for equal string states and potential dual operators.

Findings

String energy depends on oscillation number and angular momentum.

Equal string states occur at specific T-dual coordinates.

String states include expanding and contracting solutions in T-dual directions.

Abstract

We study oscillating string solutions in the Klebanov-Witten and its non-Abelian T-dual background dualised along an SU(2) isometry. We find the string energy as the function of oscillation number and angular momentum. We show that for a particular set of T-dual co-ordinates both the background have equal string states. We also study the string states where the strings are expanding and contracting in the T-dual co-ordinate direction. We expect the presence of the superconformal field theory dual operators whose anomalous dimensions depend on T-dual co-ordinate.