Holographic description of 2D conformal block in semi-classical limit

被引：0
作者：
Bin Chen
Jie-qiang Wu
Jia-ju Zhang
机构：
[1] Peking University,Department of Physics and State Key Laboratory of Nuclear Physics and Technology
[2] Collaborative Innovation Center of Quantum Matter,Center for High Energy Physics
[3] Peking University,Theoretical Physics Division, Institute of High Energy Physics
[4] Chinese Academy of Sciences,Theoretical Physics Center for Science Facilities
[5] Chinese Academy of Sciences,undefined
来源：
Journal of High Energy Physics | / 2016卷
关键词：
AdS-CFT Correspondence; Conformal Field Theory;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the holographic descriptions of the conformal block of heavy operators in two-dimensional large c conformal field theory. We consider the case that the operators are pairwise inserted such that the distance between the operators in a pair is much smaller than the others. In this case, each pair of heavy operators creates a conical defect in the bulk. We propose that the conformal block is dual to the on-shell action of three dimensional geometry with conical defects in the semi-classical limit. We show that the variation of the on-shell action with respect to the conical angle is equal to the length of the corresponding conical defect. We derive this differential relation on the conformal block in the field theory by introducing two extra light operators as both the probe and the perturbation. Our study also suggests that the area law of the holographic Rényi entropy must holds for a large class of states generated by a finite number of heavy operators insertion.
引用
收藏
相关论文
共 111 条
  • [21] Bañados M(2016)Holographic derivation of entanglement entropy from AdS/CFT JHEP 07 123-undefined
  • [22] Teitelboim C(2006)Aspects of holographic entanglement entropy Phys. Rev. Lett. 96 181602-undefined
  • [23] Zanelli J(2006)Conformal symmetry in two-dimensions: an explicit recurrence formula for the conformal partial wave amplitude JHEP 08 045-undefined
  • [24] Fitzpatrick AL(1984)Entanglement Renyi entropies in holographic theories Commun. Math. Phys. 96 419-undefined
  • [25] Kaplan J(2010)Holography and Riemann surfaces Phys. Rev. D 82 126010-undefined
  • [26] Walters MT(2000)On uniformization of Riemann surfaces and the Weil-Petersson metric on Teichmuller and Schottky spaces Adv. Theor. Math. Phys. 4 929-undefined
  • [27] Fitzpatrick AL(1988) 2 Math. USSR Sb. 60 297-undefined
  • [28] Kaplan J(2016)Holographic entanglement beyond classical gravity JHEP 09 015-undefined
  • [29] Walters MT(2013)On short interval expansion of Rényi entropy JHEP 09 109-undefined
  • [30] Fitzpatrick AL(2013)Holographic Rényi entropy for CFT with W symmetry JHEP 11 164-undefined
12345678910