Spinning geodesic Witten diagrams

Dyer, Ethan; Freedman, Daniel Z.; Sully, James

doi:10.1007/JHEP11(2017)060

Title: Spinning geodesic Witten diagrams

Journal Article · Fri Nov 10 00:00:00 EST 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP11(2017)060· OSTI ID:1410512

Dyer, Ethan ^[1]; Freedman, Daniel Z. ^[2]; Sully, James ^[3]

Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics
Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics; Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics; Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Mathematics
SLAC National Accelerator Lab., Menlo Park, CA (United States). Theory Group; McGill Univ., Montreal, QC (Canada). Dept of Physics

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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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE; National Science Foundation (NSF)

Grant/Contract Number:: AC02-76SF00515; PHY-1316699; PHY-1620045

OSTI ID:: 1410512

Alternate ID(s):: OSTI ID: 1418210

Journal Information:: Journal of High Energy Physics (Online), Vol. 2017, Issue 11; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 26 works

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Fermions in geodesic Witten diagrams Nishida, Mitsuhiro; Tamaoka, Kotaro Journal of High Energy Physics, Vol. 2018, Issue 7 https://doi.org/10.1007/jhep07(2018)149	journal	July 2018
Weight Shifting Operators and Conformal Blocks Karateev, Denis; Kravchuk, Petr; Simmons-Duffin, David arXiv https://doi.org/10.48550/arxiv.1706.07813	text	January 2017
Double-Trace Deformations of Conformal Correlations Giombi, Simone; Kirilin, Vladimir; Perlmutter, Eric arXiv https://doi.org/10.48550/arxiv.1801.01477	text	January 2018
Fermions in Geodesic Witten Diagrams Nishida, Mitsuhiro; Tamaoka, Kotaro arXiv https://doi.org/10.48550/arxiv.1805.00217	text	January 2018
AdS Weight Shifting Operators Costa, Miguel S.; Hansen, Tobias arXiv https://doi.org/10.48550/arxiv.1805.01492	text	January 2018
The Conformal Bootstrap: Theory, Numerical Techniques, and Applications Poland, David; Rychkov, Slava; Vichi, Alessandro arXiv https://doi.org/10.48550/arxiv.1805.04405	text	January 2018
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