Strings on the deformed T^{1,1}: giant magnon and single spike solutions

TL;DR

This paper explores giant magnon and single spike string solutions in a gamma-deformed conifold, revealing how deformation affects dispersion relations and conserved charge relations.

Contribution

It introduces new string solutions in a gamma-deformed background and analyzes how deformation modifies their dispersion relations and conserved charge relations.

Findings

Dispersion relations are similar to the undeformed case.

Gamma deformation shifts the functional relations between conserved charges.

Shifted relations depend on total momentum, indicating qualitative differences.

Abstract

In this paper we find giant magnon and single spike string solutions in a sector of the gamma-deformed conifold. We examine the dispersion relations and find a behavior analogous to the undeformed case. The transcendental functional relations between the conserved charges are shifted by certain gamma-dependent term. The latter is proportional to the total momentum and thus qualitatively different from known cases.