2016/05/31 by Arpan Bhattacharyya, Long Cheng, Ling-Yan Hung
Physics and Astronomy · #Anomaly (physics) #Black Holes and Theoretical Physics #Cauchy stress tensor #Causality (physics) #Central charge #Cosmology and Gravitation Theories #Entropy (arrow of time) #Gravitational anomaly #Graviton #Kullback–Leibler divergence #Noncommutative and Quantum Gravity Theories #Quantum entanglement #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep07(2016)121
published as JHEP07(2016)121 · 21 pages, Details added, typos fixed, references updated; version to appear in JHEP
openalex created_date 2016/06/24 · openalex publication_date 2016/07/01 · arxiv created 2016/07/18 · arxiv updated 2016/08/24 · openalex updated_date 2026/08/05
In this note we explored the holographic relative entropy in the presence of the 5d Chern-Simons term, which introduces a mixed gauge-gravity anomaly to the dual CFT. The theory trivially satisfies an entanglement first law. However, to quadratic order in perturbations of the stress tensor T and current density J , there is a mixed contributionto the relative entropy bi-linear in T and J , signalling a potential violation of the positivity of the relative entropy. Miraculously, the term vanishes up to linear order in a derivative expansion. This prompted a closer inspection on a different consistency check, that involves time-delay of a graviton propagating in a charged background, scattered via a coupling supplied by the Chern-Simons term. The analysis suggests that the time-delay can take either sign, potentially violating causality for any finite value of the CS coupling.