Thermodynamics in Rotating Anti-de Sitter Black Holes with Massive Scalar Field in Three Dimensions
Abstract
We investigate the tendency in variations of the dual CFT2 when a rotating AdS3 black hole changes by fluxes transferred by the scattering of a massive scalar field according to the AdS/CFT correspondence. The conserved quantities of the black hole are definitely constrained by the extremal condition. Moreover, the laws of thermodynamics provide a direction for the changes in the conserved quantities, so the black hole cannot be extremal under the scattering. This is naturally preferred. By the relationship between the rotating AdS3 black hole and dual CFT2, we find that such changes in the black hole constrain variations in eigenstates of the dual CFT2. Furthermore, the tendency in the variations is closely related to the laws of thermodynamics.