Counting conformal correlators

Kravchuk, Petr; Simmons-Duffin, David

doi:10.1007/jhep02(2018)096

Title: Counting conformal correlators

Journal Article · Thu Feb 15 00:00:00 EST 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep02(2018)096· OSTI ID:1502434

^[1]; Simmons-Duffin, David ^[2]

California Inst. of Technology, Pasadena (United States). Walter Burke Inst. for Theoretical Physics
California Inst. of Technology, Pasadena (United States). Walter Burke Inst. for Theoretical Physics; Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences

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.

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Research Organization:: Institute for Advanced Study, Princeton, NJ (United States); California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0009988; SC0011632

OSTI ID:: 1502434

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 2; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 61 works

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