2016/03/31 by Davood Mahdavian Yekta · 1 citation
Mathematics · Physics and Astronomy · #Algebra over a field #Algebra representation #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Classical mechanics #Conformal field theory #Conformal map #Conserved quantity #Cosmology and Gravitation Theories #De Sitter universe #Entropy (arrow of time) #Geometry #Gravitation #Massive gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Universe #Virasoro algebra #gr-qc #hep-th
paper · pdf · doi:10.1016/j.physletb.2016.05.023
13 pages
arxiv created 2016/03/31 · openalex publication_date 2016/05/12 · arxiv updated 2016/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the asymptotic structure of the three dimensional Warped Anti-de Sitter (WAdS3) black holes in the Bergshoeff–Hohm–Townsend (BHT) massive gravity using the canonical Hamiltonian formalism. We define the canonical asymptotic gauge generators, which produce the conserved charges and the asymptotic symmetry group for the WAdS3 black holes. The attained symmetry group is described by a semi-direct sum of a Virasoro and a Kač–Moody algebra. Using the Sugawara construction, we obtain a direct sum of two Virasoro algebras. We show that not only the asymptotic conserved charges satisfy the first law of black hole thermodynamics, but also they lead to the expected Smarr formula for the WAdS3 black holes. We also show that the black hole's entropy obeys the Cardy formula of the dual conformal field theory (CFT).