Anatomy of Geodesic Witten Diagram

• Main Authors: En-Jui Kuo, 郭恩瑞
• Other Authors: Heng-Yu Chen
• Format: Others
• Language: en_US
• Published: 2017
• Online Access: http://ndltd.ncl.edu.tw/handle/93jtsr

碩士 === 國立臺灣大學 === 物理學研究所 === 105 === In this thesis, first we review the basic knowledge about the conformal field theory and the AdS higher spin theory. Then we revisit the so-called “Geodesic Witten Diagrams” (GWDs) [2], proposed to be the holographic dual configuration of scalar conformal partial waves, from the perspectives of CFT operator product expansions. To this end, we explicitly consider three point GWDs which are natural building blocks of all possible four point GWDs, discuss their gluing procedure through integration over spectral parameter, and this leads us to a direct identification with the integral representation of CFT conformal partial waves. As a main application of this general construction, we consider the holographic dual of the conformal partial waves for external primary operators with spins. Moreover, we consider the closely related “split representation” for the bulk to bulk spinning propagator, to demonstrate how ordinary Witten diagram with arbitrary spin exchange, can be systematically decomposed into GWDs. We also comment how to generalize to spinning cases.