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Title: Spinning geodesic Witten diagrams

Journal Article · · Journal of High Energy Physics (Online)
 [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

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.

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
National Science Foundation (NSF); USDOE
Grant/Contract Number:
AC02-76SF00515
OSTI ID:
1410512
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 11 Vol. 2017; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

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Cited By (15)

Weight shifting operators and conformal blocks journal February 2018
Double-trace deformations of conformal correlations journal February 2018
Holographic dual of the five-point conformal block journal May 2019
Fermions in geodesic Witten diagrams journal July 2018
Universal lowest-twist in CFTs from holography journal August 2019
AdS weight shifting operators journal September 2018
Propagator identities, holographic conformal blocks, and higher-point AdS diagrams journal October 2019
The conformal bootstrap: Theory, numerical techniques, and applications journal January 2019
Weight Shifting Operators and Conformal Blocks text January 2017
Double-Trace Deformations of Conformal Correlations text January 2018
Fermions in Geodesic Witten Diagrams text January 2018
AdS Weight Shifting Operators text January 2018
The Conformal Bootstrap: Theory, Numerical Techniques, and Applications text January 2018
Holographic dual of the five-point conformal block text January 2019
Universal Lowest-Twist in CFTs from Holography text January 2019

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