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...
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP10(2024)046 |
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| Summary: | 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. |
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| ISSN: | 1029-8479 |