Supersymmetric solitons and a degeneracy of solutions in AdS/CFT
Abstract We study Lorentzian supersymmetric configurations in D = 4 and D = 5 gauged N $$ \mathcal{N} $$ = 2 supergravity. We show that there are smooth 1/2 BPS solutions which are asymptotically AdS4 and AdS5 with a planar boundary, a compact spacelike direction and with a Wilson line on that circl...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-07-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2021)015 |
| _version_ | 1818864711401209856 |
|---|---|
| author | Andrés Anabalón Simon F. Ross |
| author_facet | Andrés Anabalón Simon F. Ross |
| author_sort | Andrés Anabalón |
| collection | DOAJ |
| description | Abstract We study Lorentzian supersymmetric configurations in D = 4 and D = 5 gauged N $$ \mathcal{N} $$ = 2 supergravity. We show that there are smooth 1/2 BPS solutions which are asymptotically AdS4 and AdS5 with a planar boundary, a compact spacelike direction and with a Wilson line on that circle. There are solitons where the S 1 shrinks smoothly to zero in the interior, with a magnetic flux through the circle determined by the Wilson line, which are AdS analogues of the Melvin fluxtube. There is also a solution with a constant gauge field, which is pure AdS. Both solutions preserve half of the supersymmetries at a special value of the Wilson line. There is a phase transition between these two saddle-points as a function of the Wilson line precisely at the supersymmetric point. Thus, the supersymmetric solutions are degenerate, at least at the supergravity level. We extend this discussion to one of the Romans solutions in four dimensions when the Euclidean boundary is S 1 × Σ g where Σ g is a Riemann surface with genus g > 0. We speculate that the supersymmetric state of the CFT on the boundary is dual to a superposition of the two degenerate geometries. |
| first_indexed | 2024-12-19T10:36:00Z |
| format | Article |
| id | doaj.art-2eb2e3b4647246caa39594dd8ed0663d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T10:36:00Z |
| publishDate | 2021-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2eb2e3b4647246caa39594dd8ed0663d2022-12-21T20:25:36ZengSpringerOpenJournal of High Energy Physics1029-84792021-07-012021712410.1007/JHEP07(2021)015Supersymmetric solitons and a degeneracy of solutions in AdS/CFTAndrés Anabalón0Simon F. Ross1Departamento de Ciencias, Facultad de Artes Liberales, Universidad Adolfo IbáñezCentre for Particle Theory, Department of Mathematical Sciences, Durham UniversityAbstract We study Lorentzian supersymmetric configurations in D = 4 and D = 5 gauged N $$ \mathcal{N} $$ = 2 supergravity. We show that there are smooth 1/2 BPS solutions which are asymptotically AdS4 and AdS5 with a planar boundary, a compact spacelike direction and with a Wilson line on that circle. There are solitons where the S 1 shrinks smoothly to zero in the interior, with a magnetic flux through the circle determined by the Wilson line, which are AdS analogues of the Melvin fluxtube. There is also a solution with a constant gauge field, which is pure AdS. Both solutions preserve half of the supersymmetries at a special value of the Wilson line. There is a phase transition between these two saddle-points as a function of the Wilson line precisely at the supersymmetric point. Thus, the supersymmetric solutions are degenerate, at least at the supergravity level. We extend this discussion to one of the Romans solutions in four dimensions when the Euclidean boundary is S 1 × Σ g where Σ g is a Riemann surface with genus g > 0. We speculate that the supersymmetric state of the CFT on the boundary is dual to a superposition of the two degenerate geometries.https://doi.org/10.1007/JHEP07(2021)015AdS-CFT CorrespondenceSupergravity Models |
| spellingShingle | Andrés Anabalón Simon F. Ross Supersymmetric solitons and a degeneracy of solutions in AdS/CFT Journal of High Energy Physics AdS-CFT Correspondence Supergravity Models |
| title | Supersymmetric solitons and a degeneracy of solutions in AdS/CFT |
| title_full | Supersymmetric solitons and a degeneracy of solutions in AdS/CFT |
| title_fullStr | Supersymmetric solitons and a degeneracy of solutions in AdS/CFT |
| title_full_unstemmed | Supersymmetric solitons and a degeneracy of solutions in AdS/CFT |
| title_short | Supersymmetric solitons and a degeneracy of solutions in AdS/CFT |
| title_sort | supersymmetric solitons and a degeneracy of solutions in ads cft |
| topic | AdS-CFT Correspondence Supergravity Models |
| url | https://doi.org/10.1007/JHEP07(2021)015 |
| work_keys_str_mv | AT andresanabalon supersymmetricsolitonsandadegeneracyofsolutionsinadscft AT simonfross supersymmetricsolitonsandadegeneracyofsolutionsinadscft |