BPS phases and fortuity in higher spin holography
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918186936434688 |
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| author | Kim, Seok Lee, Jehyun Lee, Siyul Oh, Hyunwoo |
| author_facet | Kim, Seok Lee, Jehyun Lee, Siyul Oh, Hyunwoo |
| contents | We study the BPS states of $U(N)_k\times U(1)_{-k}$ vector Chern-Simons theory on a sphere at weak coupling $λ=\frac{N}{k}\ll 1$, dual to an AdS$_4$ higher spin gravity. Higher spin currents are well known to be anomalous at $λ\neq 0$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_03105 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | BPS phases and fortuity in higher spin holography Kim, Seok Lee, Jehyun Lee, Siyul Oh, Hyunwoo High Energy Physics - Theory We study the BPS states of $U(N)_k\times U(1)_{-k}$ vector Chern-Simons theory on a sphere at weak coupling $λ=\frac{N}{k}\ll 1$, dual to an AdS$_4$ higher spin gravity. Higher spin currents are well known to be anomalous at $λ\neq 0$. 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. |
| title | BPS phases and fortuity in higher spin holography |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.03105 |