Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the giant magnon and spike solutions for strings on AdS$_3\times$
  S$^3$   We study solutions for the rotating strings on the sphere with a background
NS-NS field and on the Anti-de-Sitter spacetime. We show the existence of
magnon and single spike solutions on R$\times$S$^2$ in the presence of constant
magnetic field as two limiting cases. We also study the solution for strings on
AdS$_3\times$ S$^3$ with Melvin deformation. The dispersion relations among
various conserved charges are shown to receive finite corrections due to the
deformation parameter. We further study the rotating string on AdS$_3 \times$
S$^3$ geometry with two conserved angular momenta on S$^3$ and one spin along
the AdS$_3$. We show that there exists two kinds of solutions: a circular
string solution and a helical string. We find out the dispersion relation among
various charges and give physical interpretation of these solutions.

16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat