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Counting conformal correlators

Kravchuk, Petr and Simmons-Duffin, David (2018) Counting conformal correlators. Journal of High Energy Physics, 2018 (2). Art. No. 096. ISSN 1126-6708. 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
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/JHEP02(2018)096DOIArticle
https://link.springer.com/article/10.1007%2FJHEP02%282018%29096PublisherArticle
https://arxiv.org/abs/1612.08987arXivDiscussion Paper
ORCID:
AuthorORCID
Kravchuk, Petr0000-0003-0977-3686
Simmons-Duffin, David0000-0002-2937-9515
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
Funders:
Funding AgencyGrant Number
Institute for Advanced StudyUNSPECIFIED
Simons Foundation488657
Department of Energy (DOE)DE-SC0009988
Department of Energy (DOE)DE-SC0011632
Subject Keywords:Conformal Field Theory, Conformal and W Symmetry, Field Theories in Higher Dimensions, Space-Time Symmetries
Issue or Number:2
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:03 Oct 2019 19:24

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