Institute for the Physics and Mathematics of the Universe (IPMU), University of Tokyo, Kashiwa, Chiba 277-8582, Japan.
Phys Rev Lett. 2011 Sep 2;107(10):101602. doi: 10.1103/PhysRevLett.107.101602. Epub 2011 Aug 30.
We propose a holographic dual of a conformal field theory defined on a manifold with boundaries, i.e., boundary conformal field theory (BCFT). Our new holography, which may be called anti-de Sitter BCFT, successfully calculates the boundary entropy or g function in two-dimensional BCFTs and it agrees with the finite part of the holographic entanglement entropy. Moreover, we can naturally derive a holographic g theorem. We also analyze the holographic dual of an interval at finite temperature and show that there is a first order phase transition.
我们提出了一种带边界的流形上定义的共形场论的全息对偶，即边界共形场论（BCFT）。我们的新全息对偶，也许可以称为反德西特 BCFT，成功地计算了二维 BCFT 中的边界熵或 g 函数，并且与全息纠缠熵的有限部分相符。此外，我们可以自然地推导出一个全息 g 定理。我们还分析了有限温度下的区间的全息对偶，并表明存在一级相变。
