2007/05/31 by Riei Ishizeki, Martı́n Kruczenski, Martin Kruczenski · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1103/physrevd.76.126006
published as Phys.Rev.D76:126006,2007 · LaTeX, 20 pages, 3 figures. v2: Refs added
arxiv created 2007/10/11 · openalex publication_date 2007/12/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04
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 \ensuremathθ that points toward the north pole. We study its properties and compute its energy E and angular momentum J as a function of \ensuremathθ. We further generalize the solution by adding one angular momentum to obtain a solution on S3. We find a spin chain interpretation 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.