N $$ \mathcal{N} $$ = 4 SYM line defect Schur index and semiclassical string
Abstract The giant graviton expansion of the line defect Schur index in four dimensional N 4 $$ \mathcal{N}4 $$ U(N) SYM was recently proposed in arXiv:2403.11543 to be captured in the dual string theory by counting fluctuations states of two half-infinite fundamental strings in AdS 5 × S 5 ending o...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-10-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP10(2024)046 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1846137371694727168 |
|---|---|
| author | M. Beccaria |
| author_facet | M. Beccaria |
| author_sort | M. Beccaria |
| collection | DOAJ |
| description | Abstract The giant graviton expansion of the line defect Schur index in four dimensional N 4 $$ \mathcal{N}4 $$ U(N) SYM was recently proposed in arXiv:2403.11543 to be captured in the dual string theory by counting fluctuations states of two half-infinite fundamental strings in AdS 5 × S 5 ending on the line defect and D3 brane giant. However, agreement with the gauge theory data for the defect line index at finite N required the inclusion of ad hoc extra contributions with unclear origin. We discuss the large N leading order contribution of the giant graviton expansion of the defect line index by a direct analysis of semiclassical string partition function in a twisted background. We discuss supersymmetric boundary conditions in the presence of the D3 brane and evaluate the quadratic fluctuations effective action by introducing a suitable projection of fluctuation modes. We show that the extra contributions to the single giant graviton correction found in arXiv:2403.11543 correspond to a supersymmetric Casimir energy contribution. |
| format | Article |
| id | doaj-art-a2cf5214e10f423fa8b35ba38fb92d40 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-a2cf5214e10f423fa8b35ba38fb92d402024-12-08T12:13:31ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241013510.1007/JHEP10(2024)046N $$ \mathcal{N} $$ = 4 SYM line defect Schur index and semiclassical stringM. Beccaria0Università del Salento, Dipartimento di Matematica e Fisica “Ennio De Giorgi”, and INFN — sezione di LecceAbstract The giant graviton expansion of the line defect Schur index in four dimensional N 4 $$ \mathcal{N}4 $$ U(N) SYM was recently proposed in arXiv:2403.11543 to be captured in the dual string theory by counting fluctuations states of two half-infinite fundamental strings in AdS 5 × S 5 ending on the line defect and D3 brane giant. However, agreement with the gauge theory data for the defect line index at finite N required the inclusion of ad hoc extra contributions with unclear origin. We discuss the large N leading order contribution of the giant graviton expansion of the defect line index by a direct analysis of semiclassical string partition function in a twisted background. We discuss supersymmetric boundary conditions in the presence of the D3 brane and evaluate the quadratic fluctuations effective action by introducing a suitable projection of fluctuation modes. We show that the extra contributions to the single giant graviton correction found in arXiv:2403.11543 correspond to a supersymmetric Casimir energy contribution.https://doi.org/10.1007/JHEP10(2024)046AdS-CFT CorrespondenceD-Branes |
| spellingShingle | M. Beccaria N $$ \mathcal{N} $$ = 4 SYM line defect Schur index and semiclassical string Journal of High Energy Physics AdS-CFT Correspondence D-Branes |
| title | N $$ \mathcal{N} $$ = 4 SYM line defect Schur index and semiclassical string |
| title_full | N $$ \mathcal{N} $$ = 4 SYM line defect Schur index and semiclassical string |
| title_fullStr | N $$ \mathcal{N} $$ = 4 SYM line defect Schur index and semiclassical string |
| title_full_unstemmed | N $$ \mathcal{N} $$ = 4 SYM line defect Schur index and semiclassical string |
| title_short | N $$ \mathcal{N} $$ = 4 SYM line defect Schur index and semiclassical string |
| title_sort | n mathcal n 4 sym line defect schur index and semiclassical string |
| topic | AdS-CFT Correspondence D-Branes |
| url | https://doi.org/10.1007/JHEP10(2024)046 |
| work_keys_str_mv | AT mbeccaria nmathcaln4symlinedefectschurindexandsemiclassicalstring |