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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.26459 |
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| _version_ | 1866915895253663744 |
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| author | Strominger, Andrew Wei, Hongji |
| author_facet | Strominger, Andrew Wei, Hongji |
| contents | Recently a one-parameter family of deformed $ \mathcal{L} w_{1+\infty}$ soft symmetry algebras, denoted $ \mathcal{L}_Λw_{1+\infty}$, acting on tree-level gravitational theories in AdS$_4$ has been discovered. Here we show that all CFT$_3$s, including those dual to quantum gravity on AdS$_4$, admit an $\mathcal{L}_Λw_{1+\infty}$ action generated by the ANEC operator, its conformal descendants and their commutators. This extends the previous tree-level results on these soft symmetries to the strongly-coupled quantum regime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26459 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | EVERY CFT$_3$ HAS AN $ \mathcal{L}_Λw_{1+\infty}$ SYMMETRY Strominger, Andrew Wei, Hongji High Energy Physics - Theory General Relativity and Quantum Cosmology Recently a one-parameter family of deformed $ \mathcal{L} w_{1+\infty}$ soft symmetry algebras, denoted $ \mathcal{L}_Λw_{1+\infty}$, acting on tree-level gravitational theories in AdS$_4$ has been discovered. Here we show that all CFT$_3$s, including those dual to quantum gravity on AdS$_4$, admit an $\mathcal{L}_Λw_{1+\infty}$ action generated by the ANEC operator, its conformal descendants and their commutators. This extends the previous tree-level results on these soft symmetries to the strongly-coupled quantum regime. |
| title | EVERY CFT$_3$ HAS AN $ \mathcal{L}_Λw_{1+\infty}$ SYMMETRY |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2603.26459 |