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Journal of High Energy Physics

, 2018:125 | Cite as

Scalar blocks as gravitational Wilson networks

  • Atanu Bhatta
  • Prashanth Raman
  • Nemani V. SuryanarayanaEmail author
Open Access
Regular Article - Theoretical Physics

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.

Keywords

AdS-CFT Correspondence Conformal Field Theory Classical Theories of Gravity Conformal and W Symmetry 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Atanu Bhatta
    • 1
    • 2
  • Prashanth Raman
    • 1
    • 2
  • Nemani V. Suryanarayana
    • 1
    • 2
    Email author
  1. 1.Institute of Mathematical SciencesChennaiIndia
  2. 2.Homi Bhabha National InstituteMumbaiIndia

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