Unbounded Multi-Magnon and Spike

Understand

We generalize the one magnon solution in R X S^2 to unbounded M magnon and find the corresponding solitonic string configuration in the string sigma model.

• This configuration gives rise to the expected dispersion relation obtained from the spin chain model in the large 't Hooft coupling limit.
• After considering (M,M) multi-magnon or spike on R X S^2 X S^2 as a subspace of AdS(5)XS^5 or AdS(4)XCP^3, we investigate the dispersion relation and the finite size effect for (M,M) multi-magnon or spike.