Kravchuk, Petr and Simmons-Duffin, David (2018) Counting conformal correlators. Journal of High Energy Physics, 2018 (2). Art. No. 096. ISSN 1126-6708. doi:10.1007/JHEP02(2018)096. https://resolver.caltech.edu/CaltechAUTHORS:20180221-104437860
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Abstract
We introduce simple group-theoretic techniques for classifying conformallyinvariant tensor structures. With them, we classify tensor structures of general n-point functions of non-conserved operators, and n ≥ 4-point functions of general conserved currents, with or without permutation symmetries, and in any spacetime dimension d. Our techniques are useful for bootstrap applications. The rules we derive simultaneously count tensor structures for flat-space scattering amplitudes in d + 1 dimensions.
| Item Type: | Article | ||||||||||||
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| Additional Information: | © 2018 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: December 7, 2017; Accepted: February 5, 2018; Published: February 15, 2018. We thank Chris Beem, Clay Córdova, Tolya Dymarsky, Mikhail Evtikhiev, Enrico Herrmann, Denis Karateev, Hirosi Ooguri and Chia-Hsien Shen for discussions. DSD is supported by a William D. Loughlin Membership at the Institute for Advanced Study, and Simons Foundation grant 488657 (Simons Collaboration on the Non-perturbative Bootstrap). This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Numbers DE-SC0009988 (DSD) and DE-SC0011632 (PK). | ||||||||||||
| Group: | Walter Burke Institute for Theoretical Physics | ||||||||||||
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| Subject Keywords: | Conformal Field Theory, Conformal and W Symmetry, Field Theories in Higher Dimensions, Space-Time Symmetries | ||||||||||||
| Issue or Number: | 2 | ||||||||||||
| DOI: | 10.1007/JHEP02(2018)096 | ||||||||||||
| Record Number: | CaltechAUTHORS:20180221-104437860 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180221-104437860 | ||||||||||||
| Official Citation: | Kravchuk, P. & Simmons-Duffin, D. J. High Energ. Phys. (2018) 2018: 96. https://doi.org/10.1007/JHEP02(2018)096 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 84902 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||
| Deposited On: | 21 Feb 2018 21:08 | ||||||||||||
| Last Modified: | 15 Nov 2021 20:23 |
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