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Entropy for gravitational Chern-Simons terms by squashed cone method
Guo, WZ; Miao, RX; Guo, WZ (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Zhong Guan Cun East St 55,POB 2735, Beijing 100190, Peoples R China.; Guo, WZ (reprint author), Kyoto Univ, YITP, Sakyo Ku, Kyoto 6068502, Japan.; Miao, RX (reprint author), Max Planck Inst Gravitat Phys, Albert Einstein Inst, Muhlenberg 1, D-14476 Golm, Germany.
2016
发表期刊JOURNAL OF HIGH ENERGY PHYSICS
期号4页码:6
文章类型Article
摘要In this paper we investigate the entropy of gravitational Chern-Simons terms for the horizon with non-vanishing extrinsic curvatures, or the holographic entanglement entropy for arbitrary entangling surface. In 3D there is no anomaly of entropy. But the original squashed cone method can not be used directly to get the correct result. For higher dimensions the anomaly of entropy would appear, still, we can not use the squashed cone method directly. That is becasuse the Chern-Simons action is not gauge invariant. To get a reasonable result we suggest two methods. One is by adding a boundary term to recover the gauge invariance. This boundary term can be derived from the variation of the Chern-Simons action. The other one is by using the Chern-Simons relation d Omega(4n-1) = tr(R-2n). We notice that the entropy of tr(R-2n) is a total derivative locally, i.e. S = ds(CS). We propose to identify s(CS) with the entropy of gravitational Chern-Simons terms Omega(4n-1). In the first method we could get the correct result for Wald entropy in arbitrary dimension. In the second approach, in addition to Wald entropy, we can also obtain the anomaly of entropy with non-zero extrinsic curvatures. Our results imply that the entropy of a topological invariant, such as the Pontryagin term tr(R-2n) and the Euler density, is a topological invariant on the entangling surface.
关键词Ads-cft Correspondence Classical Theories Of Gravity
学科领域Physics
资助者Sino-Germann (CSC-DAAD) Postdoc Scholarship Program ; Sino-Germann (CSC-DAAD) Postdoc Scholarship Program ; Sino-Germann (CSC-DAAD) Postdoc Scholarship Program ; Sino-Germann (CSC-DAAD) Postdoc Scholarship Program ; Postgraduate Scholarship Program of China Scholarship Council ; Postgraduate Scholarship Program of China Scholarship Council ; Postgraduate Scholarship Program of China Scholarship Council ; Postgraduate Scholarship Program of China Scholarship Council ; Sino-Germann (CSC-DAAD) Postdoc Scholarship Program ; Sino-Germann (CSC-DAAD) Postdoc Scholarship Program ; Sino-Germann (CSC-DAAD) Postdoc Scholarship Program ; Sino-Germann (CSC-DAAD) Postdoc Scholarship Program ; Postgraduate Scholarship Program of China Scholarship Council ; Postgraduate Scholarship Program of China Scholarship Council ; Postgraduate Scholarship Program of China Scholarship Council ; Postgraduate Scholarship Program of China Scholarship Council
DOIhttp://dx.doi.org/10.1007/JHEP04(2016)006
关键词[WOS]MASSIVE GAUGE-THEORIES ; BLACK-HOLES
收录类别SCI
语种英语
资助者Sino-Germann (CSC-DAAD) Postdoc Scholarship Program ; Sino-Germann (CSC-DAAD) Postdoc Scholarship Program ; Sino-Germann (CSC-DAAD) Postdoc Scholarship Program ; Sino-Germann (CSC-DAAD) Postdoc Scholarship Program ; Postgraduate Scholarship Program of China Scholarship Council ; Postgraduate Scholarship Program of China Scholarship Council ; Postgraduate Scholarship Program of China Scholarship Council ; Postgraduate Scholarship Program of China Scholarship Council ; Sino-Germann (CSC-DAAD) Postdoc Scholarship Program ; Sino-Germann (CSC-DAAD) Postdoc Scholarship Program ; Sino-Germann (CSC-DAAD) Postdoc Scholarship Program ; Sino-Germann (CSC-DAAD) Postdoc Scholarship Program ; Postgraduate Scholarship Program of China Scholarship Council ; Postgraduate Scholarship Program of China Scholarship Council ; Postgraduate Scholarship Program of China Scholarship Council ; Postgraduate Scholarship Program of China Scholarship Council
WOS类目Physics, Particles & Fields
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/21713
专题理论物理所SCI论文
通讯作者Guo, WZ (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Zhong Guan Cun East St 55,POB 2735, Beijing 100190, Peoples R China.; Guo, WZ (reprint author), Kyoto Univ, YITP, Sakyo Ku, Kyoto 6068502, Japan.; Miao, RX (reprint author), Max Planck Inst Gravitat Phys, Albert Einstein Inst, Muhlenberg 1, D-14476 Golm, Germany.
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GB/T 7714
Guo, WZ,Miao, RX,Guo, WZ ,et al. Entropy for gravitational Chern-Simons terms by squashed cone method[J]. JOURNAL OF HIGH ENERGY PHYSICS,2016(4):6.
APA Guo, WZ,Miao, RX,Guo, WZ ,Guo, WZ ,&Miao, RX .(2016).Entropy for gravitational Chern-Simons terms by squashed cone method.JOURNAL OF HIGH ENERGY PHYSICS(4),6.
MLA Guo, WZ,et al."Entropy for gravitational Chern-Simons terms by squashed cone method".JOURNAL OF HIGH ENERGY PHYSICS .4(2016):6.
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