论文标题
关于广告/BCFT对应的动力学
On the Dynamics in the AdS/BCFT Correspondence
论文作者
论文摘要
我们认为爱因斯坦重力与诺伊曼边界条件的扰动，在ADSD+1 spaectime中，该d+1大于2。我们还表明，如果BCFT可以将neumann或Constrormant dirichelet边界条件为特定的边界条件，则在d维BCFT中的能量弹药张量应满足边界共形对称性的非平凡约束。我们发现这些约束确实对自由标量BCFT满足。对于ADS/BCFT中的BCFT，我们发现BCFT可以将其与无张力的Brane的Neumann边界条件相结合，但是BCFT可以通过使用全息关系将非零张力的Brane与非零张力的双张力边界条件搭配到重力。
We consider a perturbation of the Einstein gravity with the Neumann boundary condition, which is regarded as an end of the world brane (ETW brane) of the AdS/BCFT correspondence, in the AdSd+1 spaectime where d is larger than 2. We obtain the mode expansion of the perturbations explicitly for the tensionless ETW brane case. We also show that the energy-momentum tensor in a d-dimensional BCFT should satisfy nontrivial constraints other than the ones for the boundary conformal symmetry if the BCFT can couple to a d-dimensional gravity with a specific boundary condition, which can be the Neumann or the conformally Dirichlet boundary conditions. We find these constraints are indeed satisfied for the free scalar BCFT. For the BCFT in the AdS/BCFT, we find that the BCFT can couple to the gravity with the Neumann boundary condition for the tensionless brane, but the BCFT can couple to the gravity with the conformally Dirichlet boundary condition for the nonzero tension brane by using holographic relations.
