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Title: General bootstrap equations in 4D CFTs

Abstract

We provide a framework for generic 4D conformal bootstrap computations. It is based on the unification of two independent approaches, the covariant (embedding) formalism and the non-covariant (conformal frame) formalism. We construct their main ingredients (tensor structures and differential operators) and establish a precise connection between them. We supplement the discussion by additional details like classification of tensor structures of n-point functions, normalization of 2-point functions and seed conformal blocks, Casimir differential operators and treatment of conserved operators and permutation symmetries. Lastly, we implement our framework in a Mathematica package and make it freely available.

Authors:
 [1]; ORCiD logo [2];  [3]
  1. Ecole Polytechnique Federale Lausanne (EFPL), Lausanne (Switzlerland)
  2. Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste (Italy); Italian National Institute of Nuclear Physics (INFN), Trieste (Italy)
  3. California Inst. of Technology (CalTech), Pasadena, CA (United States)
Publication Date:
Research Org.:
California Inst. of Tech., Pasadena (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1499644
Grant/Contract Number:  
SC0011632
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: 2018; Journal Issue: 1; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal Field Theory, Nonperturbative Effects

Citation Formats

Cuomo, Gabriel Francisco, Karateev, Denis, and Kravchuk, Petr. General bootstrap equations in 4D CFTs. United States: N. p., 2018. Web. doi:10.1007/jhep01(2018)130.
Cuomo, Gabriel Francisco, Karateev, Denis, & Kravchuk, Petr. General bootstrap equations in 4D CFTs. United States. doi:10.1007/jhep01(2018)130.
Cuomo, Gabriel Francisco, Karateev, Denis, and Kravchuk, Petr. Thu . "General bootstrap equations in 4D CFTs". United States. doi:10.1007/jhep01(2018)130. https://www.osti.gov/servlets/purl/1499644.
@article{osti_1499644,
title = {General bootstrap equations in 4D CFTs},
author = {Cuomo, Gabriel Francisco and Karateev, Denis and Kravchuk, Petr},
abstractNote = {We provide a framework for generic 4D conformal bootstrap computations. It is based on the unification of two independent approaches, the covariant (embedding) formalism and the non-covariant (conformal frame) formalism. We construct their main ingredients (tensor structures and differential operators) and establish a precise connection between them. We supplement the discussion by additional details like classification of tensor structures of n-point functions, normalization of 2-point functions and seed conformal blocks, Casimir differential operators and treatment of conserved operators and permutation symmetries. Lastly, we implement our framework in a Mathematica package and make it freely available.},
doi = {10.1007/jhep01(2018)130},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2018,
place = {United States},
year = {2018},
month = {1}
}

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