Dressed elliptic string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2
Abstract We obtain classical string solutions on $$\mathbb {R}^t \times \hbox {S}^2$$ Rt×S2 by applying the dressing method on string solutions with elliptic Pohlmeyer counterparts. This is realized through the use of the simplest possible dressing factor, which possesses just a pair of poles lying...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-08-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-6129-x |
| _version_ | 1819072497682743296 |
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| author | Dimitrios Katsinis Ioannis Mitsoulas Georgios Pastras |
| author_facet | Dimitrios Katsinis Ioannis Mitsoulas Georgios Pastras |
| author_sort | Dimitrios Katsinis |
| collection | DOAJ |
| description | Abstract We obtain classical string solutions on $$\mathbb {R}^t \times \hbox {S}^2$$ Rt×S2 by applying the dressing method on string solutions with elliptic Pohlmeyer counterparts. This is realized through the use of the simplest possible dressing factor, which possesses just a pair of poles lying on the unit circle. The latter is equivalent to the action of a single Bäcklund transformation on the corresponding sine-Gordon solutions. The obtained dressed elliptic strings present an interesting bifurcation of their qualitative characteristics at a specific value of a modulus of the seed solutions. Finally, an interesting generic feature of the dressed strings, which originates from the form of the simplest dressing factor and not from the specific seed solution, is the fact that they can be considered as drawn by an epicycle of constant radius whose center is running on the seed solution. The radius of the epicycle is directly related to the location of the poles of the dressing factor. |
| first_indexed | 2024-12-21T17:38:40Z |
| format | Article |
| id | doaj.art-a6ff3308f7cb4160b583c9a282c26804 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-21T17:38:40Z |
| publishDate | 2018-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-a6ff3308f7cb4160b583c9a282c268042022-12-21T18:55:41ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-08-0178812410.1140/epjc/s10052-018-6129-xDressed elliptic string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2Dimitrios Katsinis0Ioannis Mitsoulas1Georgios Pastras2Department of Physics, National and Kapodistrian University of AthensDepartment of Physics, School of Applied Mathematics and Physical Sciences, National Technical UniversityNCSR “Demokritos”, Institute of Nuclear and Particle PhysicsAbstract We obtain classical string solutions on $$\mathbb {R}^t \times \hbox {S}^2$$ Rt×S2 by applying the dressing method on string solutions with elliptic Pohlmeyer counterparts. This is realized through the use of the simplest possible dressing factor, which possesses just a pair of poles lying on the unit circle. The latter is equivalent to the action of a single Bäcklund transformation on the corresponding sine-Gordon solutions. The obtained dressed elliptic strings present an interesting bifurcation of their qualitative characteristics at a specific value of a modulus of the seed solutions. Finally, an interesting generic feature of the dressed strings, which originates from the form of the simplest dressing factor and not from the specific seed solution, is the fact that they can be considered as drawn by an epicycle of constant radius whose center is running on the seed solution. The radius of the epicycle is directly related to the location of the poles of the dressing factor.http://link.springer.com/article/10.1140/epjc/s10052-018-6129-x |
| spellingShingle | Dimitrios Katsinis Ioannis Mitsoulas Georgios Pastras Dressed elliptic string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2 European Physical Journal C: Particles and Fields |
| title | Dressed elliptic string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2 |
| title_full | Dressed elliptic string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2 |
| title_fullStr | Dressed elliptic string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2 |
| title_full_unstemmed | Dressed elliptic string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2 |
| title_short | Dressed elliptic string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2 |
| title_sort | dressed elliptic string solutions on mathbb r times hbox s 2 r s2 |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-6129-x |
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