Single spike solutions for strings on S2 and S3

Details Single spike solutions for strings on S2 and S3 Single spike solutions for strings on S2 and S3

2007-05-17

arxiv.org/abs/0705.2429v2

Phys.Rev.D76:126006,2007

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 20 pages, 3 figures. v2: Refs added

Scientific paper

10.1103/PhysRevD.76.126006

We study solutions for rigidly rotating strings on a two sphere. Among them we find two limiting cases that have a particular interest, one is the already known giant magnon and the other we call the single spike solution. The limiting behavior of this last solution is a string infinitely wrapped around the equator. It differs from that solution by the existence of a single spike of height theta that points toward the north pole. We study its properties and compute its energy E and angular momentum J as a function of theta. We further generalize the solution by adding one angular momentum to obtain a solution on S3. We find a spin chain interpretations of these results in terms of free fermions and the Hubbard model but the exact relation with the same models derived from the field theory is not clear.

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