Multi-stress tensors and next-to-leading singularities in the Regge limit

• Published in: The journal of high energy physics 2020-08, Vol.2020 (8), p.37-31, Article 37
• Main Author: Karlsson, Robin
• Format: Article
• Language: English
• Subjects: AdS-CFT Correspondence; Black holes; Charge exchange; Classical and Quantum Gravitation; Conformal Field Theory; Correlation; Elementary Particles; Energetic particles; High energy physics; Mathematical analysis; Phase shift; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Singularities; Stress propagation; Stress tensors; String Theory; Tensors
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP08(2020)037

A bstract The stress tensor sector of a heavy-heavy-light-light scalar correlator in CFTs with a large central charge and a large gap is defined by the exchange of multi-stress tensor operators. The Regge limit of this correlator is determined by the phase shift of a highly energetic particle propagating in a dual black hole background. Assuming Einstein gravity in the bulk, the phase shift is known perturbatively to all orders in the ratio of the heavy scaling dimension over the central charge. In the CFT, the order counts the number of stress tensors in the multi-stress tensor operator. By Fourier transforming the correlator to position space, the multi-stress tensor contributions to the leading and next-to-leading singularities in the Regge limit are found to all orders in four dimensions. The leading singularity at each order agrees with known results obtained by considering a particle in a dual shockwave background. Moreover, the leading and next-to-leading singularities due to double- and triple-stress tensors with minimal twist are known from lightcone bootstrap and agree with the results derived from the phase shift.