Giant graviton interactions and M2-branes ending on multiple M5-branes
Abstract We study splitting and joining interactions of giant gravitons with angular momenta N 1/2 ≪ J ≪ N in the type IIB string theory on AdS 5 × S 5 by describing them as instantons in the tiny graviton matrix model introduced by Sheikh-Jabbari. At large J the instanton equation can be mapped to...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP05(2018)065 |
| _version_ | 1818520420072030208 |
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| author | Shinji Hirano Yuki Sato |
| author_facet | Shinji Hirano Yuki Sato |
| author_sort | Shinji Hirano |
| collection | DOAJ |
| description | Abstract We study splitting and joining interactions of giant gravitons with angular momenta N 1/2 ≪ J ≪ N in the type IIB string theory on AdS 5 × S 5 by describing them as instantons in the tiny graviton matrix model introduced by Sheikh-Jabbari. At large J the instanton equation can be mapped to the four-dimensional Laplace equation and the Coulomb potential for m point charges in an n-sheeted Riemann space corresponds to the m-to-n interaction process of giant gravitons. These instantons provide the holographic dual of correlators of all semi-heavy operators and the instanton amplitudes exactly agree with the pp-wave limit of Schur polynomial correlators in N $$ \mathcal{N} $$ = 4 SYM computed by Corley, Jevicki and Ramgoolam. By making a slight change of variables the same instanton equation is mathematically transformed into the Basu-Harvey equation which describes the system of M2-branes ending on M5-branes. As it turns out, the solutions to the sourceless Laplace equation on an n-sheeted Riemann space correspond to n M5-branes connected by M2-branes and we find general solutions representing M2-branes ending on multiple M5-branes. Among other solutions, the n = 3 case describes an M2-branes junction ending on three M5-branes. The effective theory on the moduli space of our solutions might shed light on the low energy effective theory of multiple M5-branes. |
| first_indexed | 2024-12-11T01:37:08Z |
| format | Article |
| id | doaj.art-8e4ec55c412841789c87165712c5315c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T01:37:08Z |
| publishDate | 2018-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-8e4ec55c412841789c87165712c5315c2022-12-22T01:25:11ZengSpringerOpenJournal of High Energy Physics1029-84792018-05-012018513610.1007/JHEP05(2018)065Giant graviton interactions and M2-branes ending on multiple M5-branesShinji Hirano0Yuki Sato1School of Physics and Mandelstam Institute for Theoretical Physics & DST-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), University of the WitwatersrandDepartment of Physics, Faculty of Science, Chulalongkorn UniversityAbstract We study splitting and joining interactions of giant gravitons with angular momenta N 1/2 ≪ J ≪ N in the type IIB string theory on AdS 5 × S 5 by describing them as instantons in the tiny graviton matrix model introduced by Sheikh-Jabbari. At large J the instanton equation can be mapped to the four-dimensional Laplace equation and the Coulomb potential for m point charges in an n-sheeted Riemann space corresponds to the m-to-n interaction process of giant gravitons. These instantons provide the holographic dual of correlators of all semi-heavy operators and the instanton amplitudes exactly agree with the pp-wave limit of Schur polynomial correlators in N $$ \mathcal{N} $$ = 4 SYM computed by Corley, Jevicki and Ramgoolam. By making a slight change of variables the same instanton equation is mathematically transformed into the Basu-Harvey equation which describes the system of M2-branes ending on M5-branes. As it turns out, the solutions to the sourceless Laplace equation on an n-sheeted Riemann space correspond to n M5-branes connected by M2-branes and we find general solutions representing M2-branes ending on multiple M5-branes. Among other solutions, the n = 3 case describes an M2-branes junction ending on three M5-branes. The effective theory on the moduli space of our solutions might shed light on the low energy effective theory of multiple M5-branes.http://link.springer.com/article/10.1007/JHEP05(2018)065AdS-CFT CorrespondenceD-branesM(atrix) TheoriesM-Theory |
| spellingShingle | Shinji Hirano Yuki Sato Giant graviton interactions and M2-branes ending on multiple M5-branes Journal of High Energy Physics AdS-CFT Correspondence D-branes M(atrix) Theories M-Theory |
| title | Giant graviton interactions and M2-branes ending on multiple M5-branes |
| title_full | Giant graviton interactions and M2-branes ending on multiple M5-branes |
| title_fullStr | Giant graviton interactions and M2-branes ending on multiple M5-branes |
| title_full_unstemmed | Giant graviton interactions and M2-branes ending on multiple M5-branes |
| title_short | Giant graviton interactions and M2-branes ending on multiple M5-branes |
| title_sort | giant graviton interactions and m2 branes ending on multiple m5 branes |
| topic | AdS-CFT Correspondence D-branes M(atrix) Theories M-Theory |
| url | http://link.springer.com/article/10.1007/JHEP05(2018)065 |
| work_keys_str_mv | AT shinjihirano giantgravitoninteractionsandm2branesendingonmultiplem5branes AT yukisato giantgravitoninteractionsandm2branesendingonmultiplem5branes |