Spinning geodesic Witten diagrams
Abstract
We present an expression for the four-point conformal blocks of symmetric traceless operators of arbitrary spin as an integral over a pair of geodesics in Anti-de 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:
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Journal of High Energy Physics
- Pub Date:
- November 2017
- DOI:
- 10.1007/JHEP11(2017)060
- arXiv:
- arXiv:1702.06139
- Bibcode:
- 2017JHEP...11..060D
- Keywords:
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- AdS-CFT Correspondence;
- Conformal Field Theory;
- High Energy Physics - Theory
- E-Print:
- 28+6 pages, 8 figures