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Peer-reviewedCC BYJournal of High Energy Physics

BPS phases and fortuity in higher spin holography

  • Seok Kim1
  • Je-Hyun Lee1
  • Siyul Lee2
  • Hyunwoo Oh1
  1. 1Seoul National University
  2. 2KU Leuven
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Abstract

A bstract We study the BPS states of U ( N ) k × U (1) − k vector Chern-Simons theory on a sphere at weak coupling λ = N/k N k ≪ 1, dual to an AdS 4 higher spin gravity. Higher spin currents are well known to be anomalous at λ ≠ 0. We show that these non-BPS higher spin particles form multi-particle ‘BPS bounds’ at low energy, and interpret them as a primordial form of small black hole states. We also construct a new heavy BPS operator at N = 2. We study the BPS phases of this system from the large N index at Planckian ‘temperatures’. The deconfined saddles at high temperature exist only above a threshold, similar to the BTZ black holes. The low temperature saddles are given by novel 2-cut eigenvalue distributions. Their phase transition involves subtle issues like the holomorphic anomaly and the background independence, whose studies we initiate. In particular, we obtain a lower bound on the critical temperature by studying the eigenvalue instantons.

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Cite

BibTeXRIS
BibTeX
@article{kim2026phases,
  title = {{BPS phases and fortuity in higher spin holography}},
  author = {Seok Kim and Je-Hyun Lee and Siyul Lee and Hyunwoo Oh},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = jul,
  doi = {10.1007/jhep07(2026)218},
  url = {https://doi.org/10.1007/jhep07(2026)218},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - BPS phases and fortuity in higher spin holography
AU  - Seok Kim
AU  - Je-Hyun Lee
AU  - Siyul Lee
AU  - Hyunwoo Oh
PY  - 2026
DA  - 2026/07/23
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep07(2026)218
UR  - https://doi.org/10.1007/jhep07(2026)218
AB  - A bstract We study the BPS states of U ( N ) k × U (1) − k vector Chern-Simons theory on a sphere at weak coupling λ = N/k N k ≪ 1, dual to an AdS 4 higher spin gravity. Higher spin currents are well known to be anomalous at λ ≠ 0. We show that these non-BPS higher spin particles form multi-particle ‘BPS bounds’ at low energy, and interpret them as a primordial form of small black hole states. We also construct a new heavy BPS operator at N = 2. We study the BPS phases of this system from the large N index at Planckian ‘temperatures’. The deconfined saddles at high temperature exist only above a threshold, similar to the BTZ black holes. The low temperature saddles are given by novel 2-cut eigenvalue distributions. Their phase transition involves subtle issues like the holomorphic anomaly and the background independence, whose studies we initiate. In particular, we obtain a lower bound on the critical temperature by studying the eigenvalue instantons.
SN  - 1029-8479
SN  - 1126-6708
SN  - 1127-2236
ER  -