Central charges for BCFTs and holography
Central charges for BCFTs and holography
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DOI：
10.1007/jhep06(2012)066
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发表时间：
2012-05
影响因子：
5.4
通讯作者：
M. Nozaki;T. Takayanagi;Tomonori Ugajin
中科院分区：
文献类型：
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作者：
M. Nozaki;T. Takayanagi;Tomonori Ugajin
本文研究了带边界CFTs配分函数的对数项。在三维空间中，它们的系数给出了边界中心电荷，并推测其在RG流下是单调递减的函数。我们从场论计算中提出了一些支持性的证据。在二维空间中，我们给出了任意形状边界的全息构造（AdS/BCFT），并计算了其对数项和边界能量动量张量，证实了其与Weyl异常的一致性。此外，我们给出了具有任意边界形状的三维bcft的引力对偶的微扰解。我们发现标准的费费曼-格雷厄姆展开式对于BCFT边界的一般选择是失效的。
In this paper, we study the logarithmic terms in the partition functions of CFTs with boundaries (BCFTs). In three dimensions, their coefficients give the boundary central charges, which are conjectured to be monotonically decreasing functions under the RG flows. We present a few supporting evidences from field theory calculations. In two dimensions, we give a holographic construction (AdS/BCFT) for an arbitrary shape of boundary and calculate its logarithmic term as well as boundary energy momentum tensors, confirming its consistency with the Weyl anomaly. Moreover, we give perturbative solutions of gravity duals for the three dimensional BCFTs with any shapes of boundaries. We find that the standard Fefferman-Graham expansion breaks down for generic choices of BCFT boundaries.