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Superconformal index of large N and long quivers

  • Mohammad Akhond
  • Leonardo Santilli
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Abstract

We develop a universal framework for computing generating functions in quiver gauge theories in the large N limit. We apply this method to the superconformal index of 4d 𝒩=2 gauge theories, as well as to the 0-instanton index of 5d 𝒩=1 theories, both for finite quivers of arbitrary shape and in the long quiver limit, including both special unitary and orthosymplectic gauge groups, demonstrating its versatility. In the Hall--Littlewood limit, we show that the series expansion of the resulting index captures the expected Higgs branch chiral ring generators. Our exact expressions in the long quiver limit provide new predictions for the supergravity index of the holographically dual warped AdS5 and AdS6 backgrounds.

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Cite

BibTeXRIS
BibTeX
@misc{akhond2026superconformal,
  title = {{Superconformal index of large N and long quivers}},
  author = {Mohammad Akhond and Leonardo Santilli},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.27933},
  eprint = {2608.27933},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.27933},
}
RIS
TY  - UNPB
TI  - Superconformal index of large N and long quivers
AU  - Mohammad Akhond
AU  - Leonardo Santilli
PY  - 2026
DA  - 2026/08/28
PB  - arXiv
DO  - 10.48550/arxiv.2608.27933
UR  - https://arxiv.org/abs/2608.27933
AB  - We develop a universal framework for computing generating functions in quiver gauge theories in the large N limit. We apply this method to the superconformal index of 4d 𝒩=2 gauge theories, as well as to the 0-instanton index of 5d 𝒩=1 theories, both for finite quivers of arbitrary shape and in the long quiver limit, including both special unitary and orthosymplectic gauge groups, demonstrating its versatility. In the Hall--Littlewood limit, we show that the series expansion of the resulting index captures the expected Higgs branch chiral ring generators. Our exact expressions in the long quiver limit provide new predictions for the supergravity index of the holographically dual warped AdS_5 and AdS_6 backgrounds.
ER  -