Scalar blocks as gravitational Wilson networks

Abstract In this paper we continue to develop further our prescription [ arXiv:1602.02962 ] to holographically compute the conformal partial waves of CFT correlation functions using the gravitational open Wilson network operators in the bulk. In particular, we demonstrate how to implement it to comp...

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Bibliographic Details
Main Authors: Atanu Bhatta, Prashanth Raman, Nemani V. Suryanarayana
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP12(2018)125
Description
Summary:Abstract In this paper we continue to develop further our prescription [ arXiv:1602.02962 ] to holographically compute the conformal partial waves of CFT correlation functions using the gravitational open Wilson network operators in the bulk. In particular, we demonstrate how to implement it to compute four-point scalar partial waves in general dimension. In the process we introduce the concept of OPE modules, that helps us simplify the computations. Our result for scalar partial waves is naturally given in terms of the Gegenbauer polynomials. We also provide a simpler proof of a previously known recursion relation for the even dimensional CFT partial waves, which naturally leads us to an odd dimensional counterpart.
ISSN:1029-8479