Three Spin Spiky Strings in beta-deformed Background

TL;DR

This paper investigates rigidly rotating spiky string solutions in a beta-deformed $AdS_5 imes S^5$ background, deriving dispersion relations for multiple angular momenta and extending the analysis to four angular momenta configurations.

Contribution

It provides explicit spiky string solutions and dispersion relations in beta-deformed backgrounds, extending previous results to more complex angular momentum setups.

Findings

Derived dispersion relations for spiky strings with one and two spins.

Generalized solutions to four angular momenta in beta-deformed backgrounds.

Enhanced understanding of string dynamics in deformed AdS/CFT contexts.

Abstract

We study rigidly rotating strings in $\beta$-deformed $AdS_5\times S^5$ background with one spin along AdS$_5$ and two angular momenta along $S^5$. We find the spiky string solutions and present the dispersion relation among various charges in this background. We further generalize the result to the case of four angular momenta along $AdS_5 \times S_{\gamma}^5$.