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PreprintCC BY 4.0arXiv

Line operator indices of S-fold theories

Abstract

We study superconformal indices in the presence of line operators in S-fold theories. We consider two types of lines, realized by fundamental strings and fivebranes, respectively, in AdS5 × S5/ℤk. For fundamental lines, we analyze the corresponding indices including finite-N corrections arising from giant graviton configurations. For k=2, we compare the holographic results with line operator indices in 𝒩=4 super Yang-Mills theories with orthogonal gauge groups. For k=3,4 and $6$, we focus on the rank $2$ case, in which the supersymmetry is enhanced to cal N=4, and compare them with the corresponding Wilson-'t Hooft line operator indices. In both cases, we find improved agreement once giant graviton contributions are included. For line operators realized by fivebranes, after confirming agreement for k=2, we construct BPS configurations for k≥ 3 explicitly using fivebrane junctions and derive the indices in the large N limit by the mode analysis on the fivebrane junctions.

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BibTeX
@misc{imamura2026line,
  title = {{Line operator indices of S-fold theories}},
  author = {Yosuke Imamura and Masato Inoue and Akihiro Sei},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2607.29067},
  eprint = {2607.29067},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.29067},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Line operator indices of S-fold theories
AU  - Yosuke Imamura
AU  - Masato Inoue
AU  - Akihiro Sei
PY  - 2026
DA  - 2026/08/28
PB  - arXiv
DO  - 10.48550/arxiv.2607.29067
UR  - https://arxiv.org/abs/2607.29067
AB  - We study superconformal indices in the presence of line operators in S-fold theories. We consider two types of lines, realized by fundamental strings and fivebranes, respectively, in AdS_5 × S^5/ℤ_k. For fundamental lines, we analyze the corresponding indices including finite-N corrections arising from giant graviton configurations. For k=2, we compare the holographic results with line operator indices in 𝒩=4 super Yang-Mills theories with orthogonal gauge groups. For k=3,4 and $6$, we focus on the rank $2$ case, in which the supersymmetry is enhanced to cal N=4, and compare them with the corresponding Wilson-'t Hooft line operator indices. In both cases, we find improved agreement once giant graviton contributions are included. For line operators realized by fivebranes, after confirming agreement for k=2, we construct BPS configurations for k≥ 3 explicitly using fivebrane junctions and derive the indices in the large N limit by the mode analysis on the fivebrane junctions.
ER  -