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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.24837 |
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| _version_ | 1866914362869940224 |
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| author | Hosseini, Seyed Morteza |
| author_facet | Hosseini, Seyed Morteza |
| contents | We present the first successful large-$N$ computation of the $S^3$ free energy in chiral $\mathcal{N}=2$ Chern-Simons-matter theories, long believed to evade the universal M2-brane scaling $F_{S^3}\!\sim\!N^{3/2}$. Using a stable numerical continuation method that directly solves the saddle-point equations, we obtain convergent large-$N$ solutions for benchmark chiral quivers, including the holographic dual to AdS$_4\times Q^{1,1,1}/\mathbb{Z}_k$ and $D_3$ models. The resulting free energies precisely match the holographic predictions, resolving a decade-old puzzle in AdS$_4$/CFT$_3$ and establishing a practical numerical framework for precision holography in strongly coupled gauge theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_24837 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Large-$N$ Free Energy of Chiral $\mathcal{N}=2$ Chern-Simons-Matter Theories Hosseini, Seyed Morteza High Energy Physics - Theory We present the first successful large-$N$ computation of the $S^3$ free energy in chiral $\mathcal{N}=2$ Chern-Simons-matter theories, long believed to evade the universal M2-brane scaling $F_{S^3}\!\sim\!N^{3/2}$. Using a stable numerical continuation method that directly solves the saddle-point equations, we obtain convergent large-$N$ solutions for benchmark chiral quivers, including the holographic dual to AdS$_4\times Q^{1,1,1}/\mathbb{Z}_k$ and $D_3$ models. The resulting free energies precisely match the holographic predictions, resolving a decade-old puzzle in AdS$_4$/CFT$_3$ and establishing a practical numerical framework for precision holography in strongly coupled gauge theories. |
| title | Large-$N$ Free Energy of Chiral $\mathcal{N}=2$ Chern-Simons-Matter Theories |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.24837 |