On the anatomy of multi-spin magnon and single spike string solutions

TL;DR

This paper analyzes specific multi-spin string solutions in the $AdS_5 imes S^5$ background, focusing on giant magnons and single spike strings, and explores their dispersion relations and potential gauge theory duals.

Contribution

It introduces new multispin string solutions, including giant magnons and single spikes, and examines their dispersion relations in various spin configurations.

Findings

Derived dispersion relations for three-spin solutions in $S^5$

Analyzed single spin in $AdS_5$ with two spins in $S^5$

Discussed potential gauge theory duals of these solutions

Abstract

We study rigid string solutions rotating in $AdS_5\times S^5$ background. For particular values of the parameters of the solutions we find multispin solutions corresponding to giant magnons and single spike strings. We present an analysis of the dispersion relations in the case of three spin solutions distributed only in $S^5$ and the case of one spin in $AdS_5$ and two spins in $S^5$. The possible relation of these string solutions to gauge theory operators and spin chains are briefly discussed.