Spinning geodesic Witten diagrams
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JHEP11(2017)060_pdfa.pdf
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Author(s)
Sully, James
Dyer, Ethan
Freedman, Daniel Z
Date Issued
October 2017
Journal
Journal of High Energy Physics
Publisher
Springer/SISSA
Citation
Dyer, Ethan, et al. “Spinning Geodesic Witten Diagrams.” Journal of High Energy Physics, vol. 2017, no. 11, Nov. 2017. © 2017 Springer International Publishing AG
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Massachusetts Institute of Technology. Department of Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP11(2017)060
