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Energy correlations and Planckian collisions

Hao Chen, Robin Karlsson, Alexander Zhiboedov

23/4/24 Published in : arXiv:2404.15056

Energy correlations characterize the energy flux through detectors at infinity produced in a collision event. Remarkably, in holographic conformal field theories, they probe high-energy gravitational scattering in the dual anti-de Sitter geometry. We use known properties of high-energy gravitational scattering and its unitarization to explore the leading quantum-gravity correction to the energy-energy correlator at strong coupling. We find that it includes a part originating from large impact parameter scattering that is non-analytic in the angle between detectors and is \log N_c enhanced compared to the standard 1/N_c perturbative expansion. It is sensitive to the full bulk geometry, including the internal manifold, providing a refined probe of the emergent holographic spacetime. Similarly, scattering at small impact parameters leads to contributions that are further enhanced by extra powers of the 't Hooft coupling assuming it is corrected by stringy effects. We conclude that energy correlations are sensitive to the UV properties of the dual gravitational theory and thus provide a promising target for the conformal bootstrap.

Entire article

Phase I & II research project(s)

  • String Theory
  • Field Theory

Phase III direction(s)

  • Holography and bulk-boundary correspondence

Upper Bound for the Free Energy of Dilute Bose Gases at Low Temperature

Strong-weak symmetry and quantum modularity of resurgent topological strings on local \mathbb{P}^2

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The National Centres of Competence in Research (NCCRs) are a funding scheme of the Swiss National Science Foundation

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