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| Format: | Preprint |
| Published: |
2026
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| Online Access: | https://arxiv.org/abs/2605.00987 |
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| _version_ | 1866910184833548288 |
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| author | Suh, Minwoo |
| author_facet | Suh, Minwoo |
| contents | The superconformal index is a grand-canonical partition function that counts the 1/16-BPS states in the theory, and its Legendre transform with respect to reduced chemical potentials accounts for the Bekenstein-Hawking entropy of electrically charged rotating black holes in anti-de Sitter spacetime. However, the superconformal index of $\mathcal{N}=4$ super Yang-Mills theory appears to allow shifts in chemical potentials, and the contributions of the shifted terms diverge exponentially. This puzzle was resolved by showing the instability of wrapped D3-branes corresponding to the shifts in the gravitational on-shell action. Analogously, we study the ABJM index and the M5-brane instability criterion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_00987 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A gravity interpretation for the complex Euclidean saddles of the ABJM index Suh, Minwoo High Energy Physics - Theory The superconformal index is a grand-canonical partition function that counts the 1/16-BPS states in the theory, and its Legendre transform with respect to reduced chemical potentials accounts for the Bekenstein-Hawking entropy of electrically charged rotating black holes in anti-de Sitter spacetime. However, the superconformal index of $\mathcal{N}=4$ super Yang-Mills theory appears to allow shifts in chemical potentials, and the contributions of the shifted terms diverge exponentially. This puzzle was resolved by showing the instability of wrapped D3-branes corresponding to the shifts in the gravitational on-shell action. Analogously, we study the ABJM index and the M5-brane instability criterion. |
| title | A gravity interpretation for the complex Euclidean saddles of the ABJM index |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.00987 |