AdS/BCFT correspondence and BTZ black hole within electric field

Abstract

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.

AdS/BCFT Correspondence and Horndeski Gravity in the Presence of Gauge Fields: Holographic Paramagnetism/Ferromagnetism Phase Transition

“…[5] On the other hand, the AdS/BCFT conjecture appears in many scenarios of the transport coefficients, where black holes take a providential role, such for example, Hawking-Page phase transition, the Hall conductivity and the fluid/gravity correspondence. [4,[6][7][8][9][10][11] Together with the above, this duality finds its natural roots in the holographic derivation of entanglement entropy [12] as well as in the Randall-Sundrum model. [13] In fact, this extension of the CFT's boundary inside the bulk of the AdSspace is considered a modification of a thin Randall-Sundrum brane, which intersects the AdS boundary.…”

“…On the other hand, following the steps of ref. [6,7] we have that the NBC on the gauge field is n 𝜇 F 𝜇𝜈 | Q = 0, and B = 𝜎. The holographic model (AdS 4 /BCFT 3 ) predicts that a constant boundary current in the bulk induces a constant current on the boundary Q.…”

AdS/BCFT correspondence and Horndeski gravity in the presence of gauge fields: from holographic paramagnetism/ferromagnetism phase transition

“…On the other hand, following the steps of [6,7], we have that the NBC on the gauge field is n µ F µν | Q = 0, and B = σ. The holographic model (AdS 4 /BCFT 3 ) predicts that a constant boundary current in the bulk induces a constant current on the boundary Q.…”

“…On the other hand, the AdS/BCFT conjecture appears in many scenarios of the transport coefficients, where black holes take a providential role, such for example Hawking-Page phase transition, the Hall conductivity and the fluid/gravity correspondence [4,[6][7][8][9][10][11]. Together with the above, this duality finds its natural roots in the holographic derivation of entanglement entropy [12] as well as in the Randall-Sundrum model [13].…”