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...
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2012
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| Online Access: | https://dx.doi.org/10.48550/arxiv.1201.5539 https://arxiv.org/abs/1201.5539 |
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ftdatacite:10.48550/arxiv.1201.5539 2023-05-15T17:39:49+02:00 Line Operator Index on S1 $\times$ S3 Gang, Dongmin Koh, Eunkyung Lee, Kimyeong 2012 https://dx.doi.org/10.48550/arxiv.1201.5539 https://arxiv.org/abs/1201.5539 unknown arXiv https://dx.doi.org/10.1007/jhep05(2012)007 arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ High Energy Physics - Theory hep-th FOS Physical sciences article-journal Article ScholarlyArticle Text 2012 ftdatacite https://doi.org/10.48550/arxiv.1201.5539 https://doi.org/10.1007/jhep05(2012)007 2022-04-01T14:05:08Z 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 Text North Pole South pole DataCite Metadata Store (German National Library of Science and Technology) South Pole North Pole |
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Open Polar |
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DataCite Metadata Store (German National Library of Science and Technology) |
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ftdatacite |
| language |
unknown |
| topic |
High Energy Physics - Theory hep-th FOS Physical sciences |
| spellingShingle |
High Energy Physics - Theory hep-th FOS Physical sciences Gang, Dongmin Koh, Eunkyung Lee, Kimyeong Line Operator Index on S1 $\times$ S3 |
| topic_facet |
High Energy Physics - Theory hep-th FOS Physical sciences |
| description |
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 |
| format |
Text |
| author |
Gang, Dongmin Koh, Eunkyung Lee, Kimyeong |
| author_facet |
Gang, Dongmin Koh, Eunkyung Lee, Kimyeong |
| author_sort |
Gang, Dongmin |
| title |
Line Operator Index on S1 $\times$ S3 |
| title_short |
Line Operator Index on S1 $\times$ S3 |
| title_full |
Line Operator Index on S1 $\times$ S3 |
| title_fullStr |
Line Operator Index on S1 $\times$ S3 |
| title_full_unstemmed |
Line Operator Index on S1 $\times$ S3 |
| title_sort |
line operator index on s1 $\times$ s3 |
| publisher |
arXiv |
| publishDate |
2012 |
| url |
https://dx.doi.org/10.48550/arxiv.1201.5539 https://arxiv.org/abs/1201.5539 |
| geographic |
South Pole North Pole |
| geographic_facet |
South Pole North Pole |
| genre |
North Pole South pole |
| genre_facet |
North Pole South pole |
| op_relation |
https://dx.doi.org/10.1007/jhep05(2012)007 |
| op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
| op_doi |
https://doi.org/10.48550/arxiv.1201.5539 https://doi.org/10.1007/jhep05(2012)007 |
| _version_ |
1766140596918943744 |