Multispin Giant Magnons

TL;DR

This paper explores generalized giant magnon solutions in string theory with multiple spins, extending previous models and analyzing their dispersion relations in undeformed and deformed backgrounds.

Contribution

It introduces new multi-spin giant magnon solutions and derives their dispersion relations, including in a $eta$-deformed background, expanding the understanding of string-spin chain dualities.

Findings

Derived new dispersion relations for multi-spin giant magnons.

Extended the Hofman-Maldacena solution to include additional angular momenta.

Confirmed the agreement between string theory and spin chain predictions in deformed backgrounds.

Abstract

We investigate giant magnons from classical rotating strings in two different backgrounds. First we generalize the solution of Hofman and Maldacena and investigate new magnon excitations of a spin chain which are dual to a string on $R\times S^5$ with two non-vanishing angular momenta. Alowing string dynamics along the third angle in the five sphere, we find a dispersion relation that reproduces the Hofman and Maldacena and the one found by Dorey for the two spin case. In the second part of the paper we generalize the two "spin" giant magnon to the case of $\b$-deformed $\axs$ background. We find agreement between the dispersion relation of the rotating string and the proposed dispersion relation of the magnon bound state on the spin chain.