Single spike solutions for strings on S2 and S3 - High Energy Physics - TheoryReport as inadecuate




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



Author: Riei Ishizeki, Martin Kruczenski

Source: https://arxiv.org/







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