Spinning geodesic Witten diagrams
Abstract
We present an expression for the fourpoint conformal blocks of symmetric traceless operators of arbitrary spin as an integral over a pair of geodesics in Antide Sitter space, generalizing the geodesic Witten diagram formalism of Hijano et al. [1] to arbitrary spin. As an intermediate step in the derivation, we identify a convenient basis of bulk threepoint interaction vertices which give rise to all possible boundary three point structures. We highlight a direct connection between the representation of the conformal block as geodesic Witten diagram and the shadow operator formalism.
 Publication:

Journal of High Energy Physics
 Pub Date:
 November 2017
 DOI:
 10.1007/JHEP11(2017)060
 arXiv:
 arXiv:1702.06139
 Bibcode:
 2017JHEP...11..060D
 Keywords:

 AdSCFT Correspondence;
 Conformal Field Theory;
 High Energy Physics  Theory
 EPrint:
 28+6 pages, 8 figures