Holographic RG Flow on the Defect and g-Theorem
Holographic RG Flow on the Defect and g-Theorem
复制标题
缺陷上的全息 RG 流和 g 定理
DOI：
10.1088/1126-6708/2002/10/002
复制
发表时间：
2002
影响因子：
5.4
通讯作者：
S. Yamaguchi
中科院分区：
文献类型：
--
作者：
S. Yamaguchi
本文从全息术的角度研究了缺陷共形场论中的形变和重整化群流。提出了一种全息g-函数的候选，并证明了g-函数沿RG流沿着单调非增的g-定理.我们将这个g-定理应用于D5-膜解，它是AdS 5 × S5中的渐近AdS 4 × S2膜。该解对应于缺陷CFT的质量变形。我们检查了g函数在这个解中是单调非增的。
We investigate relevant deformation and the renormalization group flow in a defect conformal field theory from the point of view of the holography. We propose a candidate of g-function in the context of the holography, and prove the g-theorem: the g-function is monotonically non-increasing along the RG flow. We apply this g-theorem to the D5-brane solution which is an asymptotically AdS4 × S2 brane in AdS5 × S5. This solution corresponds to the mass deformation of the defect CFT. We checked that the g-function is monotonically non-increasing in this solution.