Holographic BCFT with Dirichlet boundary condition

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Publication:1735531

DOI10.1007/JHEP02(2019)025zbMATH Open1411.81186arXiv1806.10777WikidataQ128440115 ScholiaQ128440115MaRDI QIDQ1735531

Author name not available (Why is that?)

Publication date: 28 March 2019

Published in: (Search for Journal in Brave)

Abstract: Neumann boundary condition plays an important role in the initial proposal of holographic dual of boundary conformal field theory, which has yield many interesting results and passed several non-trivial tests. In this paper, we show that Dirichlet boundary condition works as well as Neumann boundary condition. For instance, it includes AdS solution and obeys the g-theorem. Furthermore, it can produce the correct expression of one point function, the boundary Weyl anomaly and the universal relations between them. We also study the relative boundary condition for gauge fields, which is the counterpart of Dirichlet boundary condition for gravitational fields. Interestingly, the four-dimensional Reissner-Nordstrom black hole with magnetic charge is an exact solution to relative boundary condition under some conditions. This holographic model predicts that a constant magnetic field in the bulk can induce a constant current on the boundary in three dimensions. We suggest to measure this interesting boundary current in materials such as the graphene.


Full work available at URL: https://arxiv.org/abs/1806.10777



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