The omega-infinity limit of single spikes

A new infinite-size limit of strings in R×S2R×S2 is presented. The limit is obtained from single spike strings by letting the angular velocity parameter ω   become infinite. We derive the energy-momenta relation of ω=∞ω=∞ single spikes as their linear velocity v→1v→1 and their angular momentum J→1J→1. Generally, the v→1v→1, J→1J→1 limit of single spikes is singular and has to be excluded from the spectrum and be studied separately. We discover that the dispersion relation of omega-infinity single spikes contains logarithms in the limit J→1J→1. This result is somewhat surprising, since the logarithmic behavior in the string spectra is typically associated with their motion in non-compact spaces such as AdS. Omega-infinity single spikes seem to completely cover the surface of the 2-sphere they occupy, so that they may essentially be viewed as some sort of “brany strings”. A proof of the sphere-filling property of omega-infinity single spikes is given in the appendix.