Giant magnon-like solution in Sch_5 x S^5

TL;DR

This paper discovers a classical giant magnon-like string solution in Sch_5 x S^5 with B-field, revealing its properties and energy relations, and explores its duality to dipole-deformed N=4 super Yang-Mills theory.

Contribution

It presents the first giant magnon-like solution in Sch_5 x S^5 with B-field, including finite-size corrections and duality implications.

Findings

Derived energy-momentum dispersion relations.

Identified giant magnon-like behavior in S^2 subspace.

Analyzed finite-size corrections for large angular momentum.

Abstract

In this paper we have found a classical giant magnon-like solution with both infinite and finite angular momentum moving in Sch_5 x S^5 with B-field, which is believed to be dual to dipole-deformed N=4 super Yang-Mills theory. This string state propagates as a point particle in non-trivial subspace of the Sch_5 space but shows a giant magnon-like property in the S^2 subspace. We derive the energy-momentum dispersion relations and their finite-size correction for the case of finite but large angular momentum.