Spinning pulsating strings in $(AdS_5 \times S^5)_{\varkappa}$

TL;DR

This paper investigates spinning pulsating strings in a deformed AdS5 x S5 background, analyzing their energy-spin relations and how they reduce to known cases in the undeformed limit, revealing new insights into string dynamics in deformed geometries.

Contribution

It introduces a class of spinning pulsating string solutions in the rkappa-deformed background and derives their energy and angular momentum relations, extending understanding of string behavior in deformed AdS/CFT settings.

Findings

Scaling relations reduce to undeformed case as rkappa  0

Derived energy-spin relations for pulsating strings

Identified simultaneous spinning string solutions with specific conserved charge relations

Abstract

We study a general class of spinning pulsating strings in $(AdS_5 \times S^5)_{\varkappa}$ background. For these family of solitons, we examine the scaling relation between the energy, spin or angular momentum. We verify that in $\varkappa \rightarrow 0 $ limit these relations reduce to the undeformed $AdS_5 \times S^5$ case. We further study an example of a string which is spinning in the $\varkappa$-deformed AdS$_5$ and S$^5$ simultaneously and find out the scaling relation among various conserved charges.