Line Operator Index on S1 X S3

We derive a general formula of an index for N = 2 superconformal field theories on S-1 x S-3 with insertions of BPS Wilson line or 't Hooft line operator at the north pole and their anti-counterpart at the south pole of S-3. 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 N-f = 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 AdS(5) x S-5 is confirmed by the index comparison.