Spiky Strings on AdS(4) X CP**3

TL;DR

This paper investigates giant magnon and spike string solutions in AdS(4) X CP**3, deriving dispersion relations and finite size corrections, advancing understanding of string dynamics in this geometry.

Contribution

It introduces new spike solutions and derives their dispersion relations and finite size corrections within the AdS(4) X CP**3 framework.

Findings

Derived general conserved charges for rotating strings.

Established dispersion relations for giant magnon and spike solutions.

Analyzed finite size corrections for both solutions.

Abstract

We study a giant magnon and a spike solution for the string rotating on AdS(4) X CP**3 geometry. We consider rigid rotating fundamental string in the SU(2) X SU(2) sector inside the CP**3 and find out the general form of all the conserved charges. We find out the dispersion relation corresponding to both the known giant magnon and the new spike solutions. We further study the finite size correction in both cases.