Single spike solutions for strings on S2 and S3
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 ar...
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ftdatacite:10.48550/arxiv.0705.2429 2023-05-15T17:39:51+02:00 Single spike solutions for strings on S2 and S3 Ishizeki, Riei Kruczenski, Martin 2007 https://dx.doi.org/10.48550/arxiv.0705.2429 https://arxiv.org/abs/0705.2429 unknown arXiv https://dx.doi.org/10.1103/physrevd.76.126006 Assumed arXiv.org perpetual, non-exclusive license to distribute this article for submissions made before January 2004 http://arxiv.org/licenses/assumed-1991-2003/ High Energy Physics - Theory hep-th FOS Physical sciences article-journal Article ScholarlyArticle Text 2007 ftdatacite https://doi.org/10.48550/arxiv.0705.2429 https://doi.org/10.1103/physrevd.76.126006 2022-04-01T15:31:27Z 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. : LaTeX, 20 pages, 3 figures. v2: Refs added Text North Pole DataCite Metadata Store (German National Library of Science and Technology) North Pole |
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topic |
High Energy Physics - Theory hep-th FOS Physical sciences |
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High Energy Physics - Theory hep-th FOS Physical sciences Ishizeki, Riei Kruczenski, Martin Single spike solutions for strings on S2 and S3 |
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High Energy Physics - Theory hep-th FOS Physical sciences |
description |
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. : LaTeX, 20 pages, 3 figures. v2: Refs added |
format |
Text |
author |
Ishizeki, Riei Kruczenski, Martin |
author_facet |
Ishizeki, Riei Kruczenski, Martin |
author_sort |
Ishizeki, Riei |
title |
Single spike solutions for strings on S2 and S3 |
title_short |
Single spike solutions for strings on S2 and S3 |
title_full |
Single spike solutions for strings on S2 and S3 |
title_fullStr |
Single spike solutions for strings on S2 and S3 |
title_full_unstemmed |
Single spike solutions for strings on S2 and S3 |
title_sort |
single spike solutions for strings on s2 and s3 |
publisher |
arXiv |
publishDate |
2007 |
url |
https://dx.doi.org/10.48550/arxiv.0705.2429 https://arxiv.org/abs/0705.2429 |
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North Pole |
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op_relation |
https://dx.doi.org/10.1103/physrevd.76.126006 |
op_rights |
Assumed arXiv.org perpetual, non-exclusive license to distribute this article for submissions made before January 2004 http://arxiv.org/licenses/assumed-1991-2003/ |
op_doi |
https://doi.org/10.48550/arxiv.0705.2429 https://doi.org/10.1103/physrevd.76.126006 |
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1766140624540532736 |