On finite size corrections to the dispersion relations of giant magnon and single spike on \gamma -deformed T^{1,1}

TL;DR

This paper investigates finite size effects on giant magnon and single spike string solutions in a eta-deformed AdS_{5} imes T^{1,1} background, extending known results to deformed geometries.

Contribution

It provides the first analysis of finite size corrections for these string solutions in eta-deformed T^{1,1} backgrounds, generalizing undeformed results.

Findings

Finite size corrections are derived for giant magnon and single spike solutions.

Results recover undeformed case when deformation parameter approaches zero.

Finite size effects are explicitly calculated for the deformed background.

Abstract

In this paper we consider the finite size effects for the strings in \beta -deformed AdS_{5}\times T^{1,1} background. We analyze the finite size corrections for the cases of giant magnon and single spike string solution. The finite size corrections for the undeformed case are straightforwardly obtained sending the deformation parameter to zero.