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arXiv · 1201.5539

Line Operator Index on S1 $\times$ S3

Dongmin Gang·Eunkyung Koh·Kimyeong Lee
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Abstract

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.

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Dongmin Gang, Eunkyung Koh, Kimyeong Lee. 2012-01-26. Line Operator Index on S1 $\times$ S3. https://doi.org/10.1007/jhep05(2012)007

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