Towards a Flat Space Carrollian Hologram from AdS$_4$/CFT$_3$
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909651220561920 |
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| author | Lipstein, Arthur Ruzziconi, Romain Srikant, Akshay Yelleshpur |
| author_facet | Lipstein, Arthur Ruzziconi, Romain Srikant, Akshay Yelleshpur |
| contents | Finding a concrete example holography in four dimensional asymptotically flat space is an important open problem. A natural strategy is to take the flat space limit of the celebrated AdS$_4$/CFT$_3$ correspondence, which relates M-theory in AdS$_4 \times$S$^7$ to a certain superconformal Chern-Simons-matter theory known as the ABJM theory. In this limit, the boundary of AdS$_4$ becomes null infinity and the ABJM theory should exhibit an emergent superconformal Carrollian symmetry. We investigate this possiblity by matching the Carrollian limit of ABJM correlators with four-dimensional supergravity amplitudes that arise from taking the flat space limit of AdS$_4 \times$S$^7$ and reducing along the S$^7$. We also present a general analysis of three-dimensional superconformal Carrollian symmetry. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_10291 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Towards a Flat Space Carrollian Hologram from AdS$_4$/CFT$_3$ Lipstein, Arthur Ruzziconi, Romain Srikant, Akshay Yelleshpur High Energy Physics - Theory Finding a concrete example holography in four dimensional asymptotically flat space is an important open problem. A natural strategy is to take the flat space limit of the celebrated AdS$_4$/CFT$_3$ correspondence, which relates M-theory in AdS$_4 \times$S$^7$ to a certain superconformal Chern-Simons-matter theory known as the ABJM theory. In this limit, the boundary of AdS$_4$ becomes null infinity and the ABJM theory should exhibit an emergent superconformal Carrollian symmetry. We investigate this possiblity by matching the Carrollian limit of ABJM correlators with four-dimensional supergravity amplitudes that arise from taking the flat space limit of AdS$_4 \times$S$^7$ and reducing along the S$^7$. We also present a general analysis of three-dimensional superconformal Carrollian symmetry. |
| title | Towards a Flat Space Carrollian Hologram from AdS$_4$/CFT$_3$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.10291 |