Renormalized holographic entanglement entropy for quadratic curvature gravity

被引:5
|
作者
Anastasiou, Giorgos [1 ]
Araya, Ignacio J. [2 ]
Moreno, Javier [1 ,3 ]
Olea, Rodrigo [4 ]
Rivera-Betancour, David [5 ]
机构
[1] Pontificia Univ Catolica Valparaiso, Inst Fis, Casilla 4059, Valparaiso, Chile
[2] Univ Arturo Prat, Inst Ciencias Exactas & Nat, Fac Ciencias, Ave Arturo Prat Chacon 2120, Iquique 1110939, Chile
[3] Univ Calif Davis, Dept Phys & Astron, Ctr Quantum Math & Phys QMAP, Davis, CA 95616 USA
[4] Univ Andres Bello, Dept Ciencias Fis, Sazie 2212,Piso 7, Santiago, Chile
[5] Ecole Polytech, CNRS, Ctr Phys Theor, F-91128 Palaiseau, France
关键词
ONE-LOOP DIVERGENCES; TENSOR; ANOMALIES;
D O I
10.1103/PhysRevD.104.086003
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We derive a covariant expression for the renormalized holographic entanglement entropy for conformal field theories (CFTs) dual to quadratic curvature gravity in arbitrary dimensions. This expression is written as the sum of the bare entanglement entropy functional obtained using standard conical defect techniques, and a counterterm defined at the boundary of the external surface of the functional. The latter corresponds to the cod-2 self-replicating part of the extrinsic counterterms when evaluated on the replica orbifold. This renormalization method isolates the universal terms of the holographic entanglement entropy functional. We use it to compute the standard C-function candidate for CFTs of arbitrary dimension, and the type-B anomaly coefficient c for four-dimensional CFTs.
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页数:17
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