2016/05/03 by Chanju Kim, Kyung Kiu Kim, O-Kab Kwon · 9 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Cosmology and Gravitation Theories #Coupling constant #Entropy (arrow of time) #Geometry #Holography #Mathematical physics #Mathematics #Modulo #Noncommutative and Quantum Gravity Theories #Orbifold #Physics #Quantum #Quantum entanglement #Quantum mechanics #Scaling #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.physletb.2016.05.095
published in Physics Letters B 759, 395-401 (Elsevier BV) · 15 pages, 1 figure
arxiv created 2016/05/03 · openalex publication_date 2016/06/02 · openalex created_date 2016/06/24 · arxiv updated 2016/06/29 · openalex updated_date 2026/08/05
We calculate the holographic entanglement entropy (HEE) of the Zk orbifold of Lin–Lunin–Maldacena (LLM) geometries which are dual to the vacua of the mass-deformed ABJM theory with Chern–Simons level k. By solving the partial differential equations analytically, we obtain the HEEs for all LLM solutions with arbitrary M2 charge and k up to μ02-order where μ0 is the mass parameter. The renormalized entanglement entropies are all monotonically decreasing near the UV fixed point in accordance with the F-theorem. Except the multiplication factor and to all orders in μ0, they are independent of the overall scaling of Young diagrams which characterize LLM geometries. Therefore we can classify the HEEs of LLM geometries with Zk orbifold in terms of the shape of Young diagrams modulo overall size. HEE of each family is a pure number independent of the 't Hooft coupling constant except the overall multiplication factor. We extend our analysis to obtain HEE analytically to μ04-order for the symmetric droplet case.