2016/01/28 by Thomas Hartman, Sachin Jain, Sandipan Kundu · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Causality (physics) #Conformal field theory #Connection (principal bundle) #Cosmology and Gravitation Theories #Energy condition #Null (SQL) #Quantum Chromodynamics and Particle Interactions #Scalar (mathematics) #Spin (aerodynamics) #Tensor (intrinsic definition) #hep-th
paper · pdf · doi:10.1007/jhep10(2016)141
published as Duke Math. J. 167, no. 7 (2018), 1311-1346 · 24+10 pages
arxiv created 2016/01/28 · openalex created_date 2016/06/24 · openalex publication_date 2016/10/01 · arxiv updated 2018/06/20 · openalex updated_date 2026/08/06
Causality in a shockwave state is related to the analytic properties of a four-point correlation function. Extending recent results for scalar probes, we show that this constrains the couplings of the stress tensor to light spinning operators in conformal field theory, and interpret these constraints in terms of the interaction with null energy. For spin-1 and spin-2 conserved currents in four dimensions, the resulting inequalities are a subset of the Hofman-Maldacena conditions for positive energy deposition. It is well known that energy conditions in holographic theories are related to causality on the gravity side; our results make a connection on the CFT side, and extend it to non-holographic theories.