Finite-Size Dyonic Giant Magnons in TsT-transformed $AdS_5\times S^5$

TL;DR

This paper studies finite-size effects of dyonic giant magnons in a gamma-deformed AdS5xS5 background, extending previous results to cases with two angular momenta using the Neumann-Rosochatius method.

Contribution

It introduces a method to analyze finite-size dyonic giant magnons with two angular momenta in a deformed background, generalizing earlier single angular momentum results.

Findings

Derived finite-size dispersion relations for dyonic giant magnons.

Extended the understanding of giant magnons in gamma-deformed backgrounds.

Provided explicit calculations using the Neumann-Rosochatius reduction.

Abstract

We investigate dyonic giant magnons propagating on $\gamma$-deformed $AdS_5\times S^5$ by Neumann-Rosochatius reduction method with a twisted boundary condition. We compute finite-size effect of the dispersion relations of dyonic giant magnons which generalizes the previously known case of the giant magnons with one angular momentum found by Bykov and Frolov.