Studies of Boundary Entropy in AdS/BCFT

AdS/BCFT correspondence and BTZ black hole within electric field

“…Within this fluid/gravity correspondence framework, [2,24,25,27] we describe a family of boundary stress-energy tensors T ab that reside in Q. In our case, each T ab corresponds to a hypersurface in the volume that bounds a subspace of the BTZ black hole solution with an electric field.…”

“…All these bounds are conjectured based on the holographic "bottom-up" models, which are violated through ways put forward in [12][13][14][15][16]. However, just as the AdS/CFT correspondence is used to study the transport coefficients, a boundary theory known as AdS/BCFT correspondence has recently emerged [21,22], which is an extension of the AdS/CFT correspondence [23][24][25]. The idea behind the AdS/BCFT correspondence proposed by Takayanagi [21] consists of an extension of the AdS/CFT correspondence [17], defining in the CFT a boundary in d-dimensional manifold M for a d + 1-dimensional asymptotically AdS space so that ∂N = M ∪ Q, where Q is a d-dimensional manifold that satisfies ∂Q = ∂M = P figure (1).…”

“…The idea behind the AdS/BCFT correspondence proposed by Takayanagi [21] consists of an extension of the AdS/CFT correspondence [17], defining in the CFT a boundary in d-dimensional manifold M for a d + 1-dimensional asymptotically AdS space so that ∂N = M ∪ Q, where Q is a d-dimensional manifold that satisfies ∂Q = ∂M = P figure (1). This new extension has brought attention to investigating the transport coefficients like the Hall effect, fluid/gravity correspondence and the Hawking-Page phase transition [21,22,[24][25][26][27]. In our prescription, our gravitational system with a BTZ black hole coupled to the Maxwell field, we impose Neumann boundary conditions.…”