2014/06/30 by Shouvik Datta
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1103/physrevd.90.126010
published as Phys. Rev. D 90, 126010 (2014) · 29 pages. Published version. All relative entropies are calculated with respect to the vacuum
openalex publication_date 2014/12/23 · arxiv created 2014/12/27 · arxiv updated 2014/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We examine relative entropy in the context of the higher spin/CFT duality. We consider 3D bulk configurations in higher spin gravity which are dual to the vacuum and a high temperature state of a CFT with W-algebra symmetries in the presence of a chemical potential for a higher spin current. The relative entropy between these states is then evaluated using the Wilson line functional for holographic entanglement entropy. In the limit of small entangling intervals, the relative entropy should vanish for a generic quantum system. We confirm this behavior by showing that the difference in the expectation values of the modular Hamiltonian between the states matches with the difference in the entanglement entropy in the short-distance regime. Additionally, we compute the relative entropy of states corresponding to smooth solutions in the SL(2,ℤ) family with respect to the vacuum.