2014/04/29 by Jiaju Zhang, Jia-ju Zhang
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Canonical ensemble #Central charge #Conformal field theory #Conformal map #Cosmology and Gravitation Theories #Entropy (arrow of time) #First law of thermodynamics #Geometry #Mathematical physics #Mathematics #Microcanonical ensemble #Noncommutative and Quantum Gravity Theories #Physics #Thermodynamics #gr-qc #hep-th
paper · pdf · doi:10.1016/j.physletb.2014.06.063
published as Phys.Lett. B735 (2014) 301-304 · 10 pages
arxiv created 2014/04/29 · openalex publication_date 2014/06/26 · arxiv updated 2014/08/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this letter we investigate the first law of thermodynamics of the two-dimensional conformal field theory (CFT) that is dual to black holes. We start from the Cardy formula and get the CFT thermodynamics with minimal reasonable assumptions. We use both the microcanonical ensemble and canonical ensemble versions of the Cardy formula. In the black hole/CFT correspondence the black hole is dual to a CFT with excitations, and the black hole mass M and charge N correspond to the energy and charge of the excited CFT. The CFT left- and right-moving central charges cL,R should be quantized, and so we assume that they are mass-independent. Also we assume the difference of the left- and right-moving sector levels NL–NR is mass-independent dual to level matching condition. The thermodynamics of two-dimensional CFT we get is universal and supports the thermodynamics method of black hole/CFT correspondence.