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Title: Spinning geodesic Witten diagrams

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. 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]
  1. Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics
  2. 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
  3. SLAC National Accelerator Lab., Menlo Park, CA (United States). Theory Group; McGill Univ., Montreal, QC (Canada). Dept of Physics
Publication Date:
Grant/Contract Number:
AC02-76SF00515; PHY-1316699; PHY-1620045
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 1029-8479
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; AdS-CFT 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 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. 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}
}