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arXiv · 1702.06139

Spinning Geodesic Witten Diagrams

Ethan Dyer·Daniel Z. Freedman·James Sully
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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 [arXiv:1508.00501] to arbitrary spin. As an intermediate step in the derivation, we identify a convenient basis of bulk three-point 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 a geodesic Witten diagram and the shadow operator formalism.

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Ethan Dyer, Daniel Z. Freedman, James Sully. 2017-02-20. Spinning Geodesic Witten Diagrams. https://doi.org/10.1007/jhep11(2017)060

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