Spinning geodesic Witten diagrams
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.
- Authors:
-
- 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:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE; National Science Foundation (NSF)
- OSTI Identifier:
- 1410512
- Alternate Identifier(s):
- OSTI ID: 1418210
- Grant/Contract Number:
- AC02-76SF00515; PHY-1316699; PHY-1620045
- Resource 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
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AdS-CFT Correspondence; Conformal Field Theory
Citation Formats
Dyer, Ethan, Freedman, Daniel Z., and Sully, James. Spinning geodesic Witten diagrams. United States: N. p., 2017.
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. Fri .
"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 [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.},
doi = {10.1007/JHEP11(2017)060},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2017,
place = {United States},
year = {2017},
month = {11}
}
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Cited by: 7 works
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