Giant Magnon and Spike Solutions with Two Spins in AdS4xCP3

TL;DR

This paper constructs and analyzes giant magnon and spike solutions with two spins in AdS4xCP3, deriving their dispersion relations and exploring their relationships across different subspaces.

Contribution

It introduces new two-spin giant magnon and spike solutions in AdS4xCP3 and derives their dispersion relations, revealing connections between different subspace configurations.

Findings

Dispersion relation for single giant magnon in one subspace linked to one-spin magnon in RP^2

Dispersion relation for magnon in the other subspace similar to S^2 case with additional spin dependence

Constructed explicit solutions with two spins in AdS4xCP^3

Abstract

In the string theory in AdS_4 \times CP^3 we construct the giant magnon and spike solutions with two spins in two kinds of subspaces of R_t \times CP^3 and derive the dispersion relations for them. For the single giant magnon solution in one subspace we show that its dispersion relation is associated with that of the big one-spin giant magnon solution in the RP^2 subspace. For the single giant magnon solution in the other complementary subspace its dispersion relation is similar to that of the one-spin giant magnon solution living in the S^2 subspace but has one additional spin dependence.