Vibrating giant spikes and the large-winding sector

Understand

The single spike is a rigidly rotating classical string configuration closely related to the giant magnon.

• We calculate bosonic and fermionic modes of this solution, from which we see that it is not supersymmetric.
• It can be viewed as an excitation above a hoop of string wound around the equator, in the same sense that the magnon is an excitation above an orbiting point particle.
• We find the operator which plays the role of the Hamiltonian for this sector, which compared to the magnon's E-J has the angular momentum replaced by a winding charge.