Spinning geodesic Witten diagrams
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. 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. Lastly, we highlight a direct connection between the representation of the conformal block as geodesic Witten diagram and the shadow operator formalism.
 Authors:

^{[1]};
^{[2]};
^{[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
 Publication Date:
 Grant/Contract Number:
 AC0276SF00515; PHY1316699; PHY1620045
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 11; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Sponsoring Org:
 USDOE; National Science Foundation (NSF)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AdSCFT Correspondence; Conformal Field Theory
 OSTI Identifier:
 1410512
 Alternate Identifier(s):
 OSTI ID: 1418210
Dyer, Ethan, Freedman, Daniel Z., and Sully, James. Spinning geodesic Witten diagrams. United States: N. p.,
Web. doi:10.1007/JHEP11(2017)060.
Dyer, Ethan, Freedman, Daniel Z., & Sully, James. Spinning geodesic Witten diagrams. United States. doi:10.1007/JHEP11(2017)060.
Dyer, Ethan, Freedman, Daniel Z., and Sully, James. 2017.
"Spinning geodesic Witten diagrams". United States.
doi:10.1007/JHEP11(2017)060. https://www.osti.gov/servlets/purl/1410512.
@article{osti_1410512,
title = {Spinning geodesic Witten diagrams},
author = {Dyer, Ethan and Freedman, Daniel Z. and Sully, James},
abstractNote = {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. 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. Lastly, we highlight a direct connection between the representation of the conformal block as geodesic Witten diagram and the shadow operator formalism.},
doi = {10.1007/JHEP11(2017)060},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2017,
place = {United States},
year = {2017},
month = {11}
}