Integrability and non-integrability in N=2 $$ \mathcal{N}=2 $$ SCFTs and their holographic backgrounds
Abstract We show that the string worldsheet theory of Gaiotto-Maldacena holographic duals to N=2 $$ \mathcal{N}=2 $$ superconformal field theories generically fails to be classically integrable. We demonstrate numerically that the dynamics of a winding string configuration possesses a non-vanishing...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-07-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP07(2018)044 |
| _version_ | 1818683831879729152 |
|---|---|
| author | Carlos Nunez Dibakar Roychowdhury Daniel C. Thompson |
| author_facet | Carlos Nunez Dibakar Roychowdhury Daniel C. Thompson |
| author_sort | Carlos Nunez |
| collection | DOAJ |
| description | Abstract We show that the string worldsheet theory of Gaiotto-Maldacena holographic duals to N=2 $$ \mathcal{N}=2 $$ superconformal field theories generically fails to be classically integrable. We demonstrate numerically that the dynamics of a winding string configuration possesses a non-vanishing Lyapunov exponent. Furthermore an analytic study of the Normal Variational Equation fails to yield a Liouvillian solution. An exception to the generic non-integrability of such backgrounds is provided by the non-Abelian T-dual of AdS 5 × S 5; here by virtue of the canonical transformation nature of the T-duality classical integrability is known to be present. |
| first_indexed | 2024-12-17T10:41:00Z |
| format | Article |
| id | doaj.art-653ca4be23a647b2b8be04b997a4a37c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-17T10:41:00Z |
| publishDate | 2018-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-653ca4be23a647b2b8be04b997a4a37c2022-12-21T21:52:15ZengSpringerOpenJournal of High Energy Physics1029-84792018-07-012018713310.1007/JHEP07(2018)044Integrability and non-integrability in N=2 $$ \mathcal{N}=2 $$ SCFTs and their holographic backgroundsCarlos Nunez0Dibakar Roychowdhury1Daniel C. Thompson2Department of Physics, Swansea UniversityDepartment of Physics, Swansea UniversityDepartment of Physics, Swansea UniversityAbstract We show that the string worldsheet theory of Gaiotto-Maldacena holographic duals to N=2 $$ \mathcal{N}=2 $$ superconformal field theories generically fails to be classically integrable. We demonstrate numerically that the dynamics of a winding string configuration possesses a non-vanishing Lyapunov exponent. Furthermore an analytic study of the Normal Variational Equation fails to yield a Liouvillian solution. An exception to the generic non-integrability of such backgrounds is provided by the non-Abelian T-dual of AdS 5 × S 5; here by virtue of the canonical transformation nature of the T-duality classical integrability is known to be present.http://link.springer.com/article/10.1007/JHEP07(2018)044AdS-CFT CorrespondenceGauge-gravity correspondence |
| spellingShingle | Carlos Nunez Dibakar Roychowdhury Daniel C. Thompson Integrability and non-integrability in N=2 $$ \mathcal{N}=2 $$ SCFTs and their holographic backgrounds Journal of High Energy Physics AdS-CFT Correspondence Gauge-gravity correspondence |
| title | Integrability and non-integrability in N=2 $$ \mathcal{N}=2 $$ SCFTs and their holographic backgrounds |
| title_full | Integrability and non-integrability in N=2 $$ \mathcal{N}=2 $$ SCFTs and their holographic backgrounds |
| title_fullStr | Integrability and non-integrability in N=2 $$ \mathcal{N}=2 $$ SCFTs and their holographic backgrounds |
| title_full_unstemmed | Integrability and non-integrability in N=2 $$ \mathcal{N}=2 $$ SCFTs and their holographic backgrounds |
| title_short | Integrability and non-integrability in N=2 $$ \mathcal{N}=2 $$ SCFTs and their holographic backgrounds |
| title_sort | integrability and non integrability in n 2 mathcal n 2 scfts and their holographic backgrounds |
| topic | AdS-CFT Correspondence Gauge-gravity correspondence |
| url | http://link.springer.com/article/10.1007/JHEP07(2018)044 |
| work_keys_str_mv | AT carlosnunez integrabilityandnonintegrabilityinn2mathcaln2scftsandtheirholographicbackgrounds AT dibakarroychowdhury integrabilityandnonintegrabilityinn2mathcaln2scftsandtheirholographicbackgrounds AT danielcthompson integrabilityandnonintegrabilityinn2mathcaln2scftsandtheirholographicbackgrounds |