AdS/BCFT correspondence and BTZ black hole within electric field

Document Type : Regular article


Instituto de Física, Universidade Federal do Rio de Janeiro, Brazil.


This paper, presents the gravity duals of Conformal Field Theories with boundaries. This theory is known as AdS/BCFT correspondence. In this duality, our system has 3D gravity coupling with the Maxwell field dual to 2D BCFT. On the gravity side, we consider a 3D BTZ black hole. We analyze the effects of the chemical potential on the profile of the extra boundary for the black hole. Performing a holographic renormalization, we calculate the free energy and obtain the total entropy and corresponding area with chemical potential, and the boundary entropy for the black hole. These theories are specified by stress-energy tensors that reside on the extensions of the boundary to the bulk. In this way, the AdS/BCFT appears analogous to the fluid/gravity correspondence with the chemical potential. We discuss the solutions as well as their thermodynamic and fluid properties.


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Volume 2, Issue 3
We would like to dedicate this issue to the memory of Prof. M.R. Setare.
August 2022
Pages 81-92
  • Receive Date: 25 February 2022
  • Revise Date: 27 May 2022
  • Accept Date: 14 June 2022