Nonrelativistic giant magnons from Newton Cartan strings
Abstract We show nonrelativistic (NR) giant magnon dispersion relations by probing the torsional Newton Cartan (TNC) geometry with (semi)classical nonrelativistic rigidly rotating strings. We construct NR sigma models over R × S 2 and consider two specific limiting cases those are of particular inte...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-02-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP02(2020)109 |
| _version_ | 1818265772593512448 |
|---|---|
| author | Dibakar Roychowdhury |
| author_facet | Dibakar Roychowdhury |
| author_sort | Dibakar Roychowdhury |
| collection | DOAJ |
| description | Abstract We show nonrelativistic (NR) giant magnon dispersion relations by probing the torsional Newton Cartan (TNC) geometry with (semi)classical nonrelativistic rigidly rotating strings. We construct NR sigma models over R × S 2 and consider two specific limiting cases those are of particular interest. Both of these limiting conditions give rise to what we identify as the small momentum limit of the giant magnon dispersion relation in the dual SMT at strong coupling. We further generalize our results in the presence of background NS-NS fluxes. Our analysis reveals that unlike its relativistic counterpart, the NR string theory lacks of single spike solutions. |
| first_indexed | 2024-12-12T19:56:07Z |
| format | Article |
| id | doaj.art-32d0f078f19f454d9dad6be688907d9d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T19:56:07Z |
| publishDate | 2020-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-32d0f078f19f454d9dad6be688907d9d2022-12-22T00:13:51ZengSpringerOpenJournal of High Energy Physics1029-84792020-02-012020211010.1007/JHEP02(2020)109Nonrelativistic giant magnons from Newton Cartan stringsDibakar Roychowdhury0Department of Physics, Indian Institute of Technology RoorkeeAbstract We show nonrelativistic (NR) giant magnon dispersion relations by probing the torsional Newton Cartan (TNC) geometry with (semi)classical nonrelativistic rigidly rotating strings. We construct NR sigma models over R × S 2 and consider two specific limiting cases those are of particular interest. Both of these limiting conditions give rise to what we identify as the small momentum limit of the giant magnon dispersion relation in the dual SMT at strong coupling. We further generalize our results in the presence of background NS-NS fluxes. Our analysis reveals that unlike its relativistic counterpart, the NR string theory lacks of single spike solutions.http://link.springer.com/article/10.1007/JHEP02(2020)109AdS-CFT CorrespondenceBosonic StringsIntegrable Field Theories |
| spellingShingle | Dibakar Roychowdhury Nonrelativistic giant magnons from Newton Cartan strings Journal of High Energy Physics AdS-CFT Correspondence Bosonic Strings Integrable Field Theories |
| title | Nonrelativistic giant magnons from Newton Cartan strings |
| title_full | Nonrelativistic giant magnons from Newton Cartan strings |
| title_fullStr | Nonrelativistic giant magnons from Newton Cartan strings |
| title_full_unstemmed | Nonrelativistic giant magnons from Newton Cartan strings |
| title_short | Nonrelativistic giant magnons from Newton Cartan strings |
| title_sort | nonrelativistic giant magnons from newton cartan strings |
| topic | AdS-CFT Correspondence Bosonic Strings Integrable Field Theories |
| url | http://link.springer.com/article/10.1007/JHEP02(2020)109 |
| work_keys_str_mv | AT dibakarroychowdhury nonrelativisticgiantmagnonsfromnewtoncartanstrings |