<p>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<sub>4</sub>/CFT<sub>3</sub> correspondence, which relates M-theory in AdS<sub>4</sub>×S<sup>7</sup> to a certain superconformal Chern-Simons-matter theory known as the ABJM theory. In this limit, the boundary of AdS<sub>4</sub> becomes null infinity and the ABJM theory should exhibit an emergent superconformal Carrollian symmetry. We investigate this possibility by matching the Carrollian limit of ABJM correlators with four-dimensional supergravity amplitudes that arise from taking the flat space limit of AdS<sub>4</sub>×S<sup>7</sup> and reducing along the S<sup>7</sup>. We also present a general analysis of three-dimensional superconformal Carrollian symmetry.</p>

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Towards a flat space Carrollian hologram from AdS4/CFT3

  • Arthur Lipstein,
  • Romain Ruzziconi,
  • Akshay Yelleshpur Srikant

摘要

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 AdS4/CFT3 correspondence, which relates M-theory in AdS4×S7 to a certain superconformal Chern-Simons-matter theory known as the ABJM theory. In this limit, the boundary of AdS4 becomes null infinity and the ABJM theory should exhibit an emergent superconformal Carrollian symmetry. We investigate this possibility by matching the Carrollian limit of ABJM correlators with four-dimensional supergravity amplitudes that arise from taking the flat space limit of AdS4×S7 and reducing along the S7. We also present a general analysis of three-dimensional superconformal Carrollian symmetry.