Line Operator Index on S1 $\times$ S3
We derive a general formula of an index for N = 2 superconformal field theories on S1 \times S3 with insertions of BPS Wilson line or 't Hooft line operator at the north pole and their anti-counterpart at the south pole of S3. One-loop and monopole bubbling effects are taken into account in the...
| Main Authors: | , , |
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| Format: | Text |
| Language: | unknown |
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arXiv
2012
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| Subjects: | |
| Online Access: | https://dx.doi.org/10.48550/arxiv.1201.5539 https://arxiv.org/abs/1201.5539 |
| Summary: | We derive a general formula of an index for N = 2 superconformal field theories on S1 \times S3 with insertions of BPS Wilson line or 't Hooft line operator at the north pole and their anti-counterpart at the south pole of S3. One-loop and monopole bubbling effects are taken into account in the computation. As examples, we calculate the indices for N = 4 theories and N = 2 SU(2) theory with Nf = 4, and find good agreements between indices of line operators related by S-duality. The relation between Verlinde loop operators and the indices is explored. The holographic correspondence between the fundamental (anti-symmetric) Wilson line operator and the fundamental string (D5 brane) in AdS5\timesS5 is confirmed by the index comparison. : 55 pages, 5 figures. v2:references added, sec 5.2, 5.3 are added, minor corrections |
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