$\mathcal N=4$ SYM line defect Schur index and semiclassical string
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910520203804672 |
|---|---|
| author | Beccaria, Matteo |
| author_facet | Beccaria, Matteo |
| contents | The giant graviton expansion of the line defect Schur index in four dimensional $\mathcal N=4$ $U(N)$ 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 $AdS_{5}\times S^{5}$ 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_06900 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $\mathcal N=4$ SYM line defect Schur index and semiclassical string Beccaria, Matteo High Energy Physics - Theory The giant graviton expansion of the line defect Schur index in four dimensional $\mathcal N=4$ $U(N)$ 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 $AdS_{5}\times S^{5}$ 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. |
| title | $\mathcal N=4$ SYM line defect Schur index and semiclassical string |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2407.06900 |