Interacting emergent Yang-Mills theory
Abstract In this article, subleading (in 1/N) corrections to the action of the one loop dilatation operator in the su(3) sector of N $$ \mathcal{N} $$ = 4 super Yang-Mills theory are studied. We focus on the system of operators dual to two giant graviton systems, which have a bare dimension ∼ O $$ \...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-05-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP05(2022)008 |
| _version_ | 1818250621443112960 |
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| author | Chenliang Su |
| author_facet | Chenliang Su |
| author_sort | Chenliang Su |
| collection | DOAJ |
| description | Abstract In this article, subleading (in 1/N) corrections to the action of the one loop dilatation operator in the su(3) sector of N $$ \mathcal{N} $$ = 4 super Yang-Mills theory are studied. We focus on the system of operators dual to two giant graviton systems, which have a bare dimension ∼ O $$ \mathcal{O} $$ (N) and are a linear combination of restricted Schur polynomials with p = 2 long columns. At the leading order the dilatation operator gives rise to the free part of an emergent Yang-Mills theory, arising from the open string excitations of the giant gravitons. We verify that the terms we study describe interactions between these open string excitations. The interactions have the U(1)×U(1) gauge invariance expected for a pair of separated branes. |
| first_indexed | 2024-12-12T15:55:18Z |
| format | Article |
| id | doaj.art-e8d203f584ea49dba5d17e6829a12f43 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T15:55:18Z |
| publishDate | 2022-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e8d203f584ea49dba5d17e6829a12f432022-12-22T00:19:31ZengSpringerOpenJournal of High Energy Physics1029-84792022-05-012022513110.1007/JHEP05(2022)008Interacting emergent Yang-Mills theoryChenliang Su0Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal University, Higher Education Mega CenterAbstract In this article, subleading (in 1/N) corrections to the action of the one loop dilatation operator in the su(3) sector of N $$ \mathcal{N} $$ = 4 super Yang-Mills theory are studied. We focus on the system of operators dual to two giant graviton systems, which have a bare dimension ∼ O $$ \mathcal{O} $$ (N) and are a linear combination of restricted Schur polynomials with p = 2 long columns. At the leading order the dilatation operator gives rise to the free part of an emergent Yang-Mills theory, arising from the open string excitations of the giant gravitons. We verify that the terms we study describe interactions between these open string excitations. The interactions have the U(1)×U(1) gauge invariance expected for a pair of separated branes.https://doi.org/10.1007/JHEP05(2022)0081/N ExpansionAdS-CFT Correspondence |
| spellingShingle | Chenliang Su Interacting emergent Yang-Mills theory Journal of High Energy Physics 1/N Expansion AdS-CFT Correspondence |
| title | Interacting emergent Yang-Mills theory |
| title_full | Interacting emergent Yang-Mills theory |
| title_fullStr | Interacting emergent Yang-Mills theory |
| title_full_unstemmed | Interacting emergent Yang-Mills theory |
| title_short | Interacting emergent Yang-Mills theory |
| title_sort | interacting emergent yang mills theory |
| topic | 1/N Expansion AdS-CFT Correspondence |
| url | https://doi.org/10.1007/JHEP05(2022)008 |
| work_keys_str_mv | AT chenliangsu interactingemergentyangmillstheory |