Yang-Baxter deformations of the AdS4 × ℂℙ3 superstring sigma model
Abstract The gravity dual of β-deformed ABJM theory can be obtained by a TsT transformation of AdS4 × ℂℙ3. We present a supercoset construction of ℂℙ3 to obtain this gravity dual theory as a Yang-Baxter deformation. This is done by selecting a convenient combination of Cartan generators in order to...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-11-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP11(2018)043 |
| _version_ | 1818484220293545984 |
|---|---|
| author | René Negrón Victor O. Rivelles |
| author_facet | René Negrón Victor O. Rivelles |
| author_sort | René Negrón |
| collection | DOAJ |
| description | Abstract The gravity dual of β-deformed ABJM theory can be obtained by a TsT transformation of AdS4 × ℂℙ3. We present a supercoset construction of ℂℙ3 to obtain this gravity dual theory as a Yang-Baxter deformation. This is done by selecting a convenient combination of Cartan generators in order to get an Abelian r-matrix satisfying the classical Yang-Baxter equation. Our results provide another illustration of the relation between Abelian r-matrices and TsT transformations. |
| first_indexed | 2024-12-10T15:52:14Z |
| format | Article |
| id | doaj.art-2fca558763064d889b3029d0f37f6238 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T15:52:14Z |
| publishDate | 2018-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2fca558763064d889b3029d0f37f62382022-12-22T01:42:45ZengSpringerOpenJournal of High Energy Physics1029-84792018-11-0120181111510.1007/JHEP11(2018)043Yang-Baxter deformations of the AdS4 × ℂℙ3 superstring sigma modelRené Negrón0Victor O. Rivelles1Instituto de Física, Universidade de São PauloInstituto de Física, Universidade de São PauloAbstract The gravity dual of β-deformed ABJM theory can be obtained by a TsT transformation of AdS4 × ℂℙ3. We present a supercoset construction of ℂℙ3 to obtain this gravity dual theory as a Yang-Baxter deformation. This is done by selecting a convenient combination of Cartan generators in order to get an Abelian r-matrix satisfying the classical Yang-Baxter equation. Our results provide another illustration of the relation between Abelian r-matrices and TsT transformations.http://link.springer.com/article/10.1007/JHEP11(2018)043AdS-CFT CorrespondenceIntegrable Field TheoriesGauge-gravity correspondenceIntegrable Hierarchies |
| spellingShingle | René Negrón Victor O. Rivelles Yang-Baxter deformations of the AdS4 × ℂℙ3 superstring sigma model Journal of High Energy Physics AdS-CFT Correspondence Integrable Field Theories Gauge-gravity correspondence Integrable Hierarchies |
| title | Yang-Baxter deformations of the AdS4 × ℂℙ3 superstring sigma model |
| title_full | Yang-Baxter deformations of the AdS4 × ℂℙ3 superstring sigma model |
| title_fullStr | Yang-Baxter deformations of the AdS4 × ℂℙ3 superstring sigma model |
| title_full_unstemmed | Yang-Baxter deformations of the AdS4 × ℂℙ3 superstring sigma model |
| title_short | Yang-Baxter deformations of the AdS4 × ℂℙ3 superstring sigma model |
| title_sort | yang baxter deformations of the ads4 cp3 superstring sigma model |
| topic | AdS-CFT Correspondence Integrable Field Theories Gauge-gravity correspondence Integrable Hierarchies |
| url | http://link.springer.com/article/10.1007/JHEP11(2018)043 |
| work_keys_str_mv | AT renenegron yangbaxterdeformationsoftheads4cp3superstringsigmamodel AT victororivelles yangbaxterdeformationsoftheads4cp3superstringsigmamodel |