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Journal of High Energy Physics

, 2019:107 | Cite as

Subleading eikonal, AdS/CFT and double stress tensors

  • Manuela Kulaxizi
  • Gim Seng NgEmail author
  • Andrei Parnachev
Open Access
Regular Article - Theoretical Physics

Abstract

The eikonal phase which determines the Regge limit of the gravitational scat- tering amplitude of a light particle off a heavy one in Minkowski spacetimes admits an expansion in the ratio of the Schwarzschild radius of the heavy particle to the impact parameter. Such an eikonal phase in AdS spacetimes of any dimensionality has been com- puted to all orders and reduces to the corresponding Minkowski result when both the impact parameter and the Schwarzschild radius are much smaller than the AdS radius. The leading term in the AdS eikonal phase can be reproduced in the dual CFT by a single stress tensor conformal block, but the subleading term is a result of an infinite sum of the double stress tensor contributions. We provide a closed form expression for the OPE coef- ficients of the leading twist double stress tensors in four spacetime dimensions and perform the sum to compute the corresponding lightcone behavior of a heavy-heavy-light-light CFT correlator. The resulting compact expression passes a few nontrivial independent checks. In particular, it agrees with the subleading eikonal phase at large impact parameter.

Keywords

AdS-CFT Correspondence Black Holes Conformal Field Theory 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  • Manuela Kulaxizi
    • 1
  • Gim Seng Ng
    • 1
    Email author
  • Andrei Parnachev
    • 1
  1. 1.School of Mathematics and Hamilton Mathematics InstituteTrinity College DublinDublin 2Ireland

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