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Title: The analytic structure of conformal blocks and the generalized Wilson-Fisher fixed points

Abstract

Here, we describe in detail the method used in our previous work arXiv:1611.10344 to study the Wilson-Fisher critical points nearby generalized free CFTs, exploiting the analytic structure of conformal blocks as functions of the conformal dimension of the exchanged operator. Our method is equivalent to the mechanism of conformal multiplet recombination set up by null states. We also compute, to the first non-trivial order in the ε-expansion, the anomalous dimensions and the OPE coefficients of infinite classes of scalar local operators using just CFT data. We study single-scalar and O(N)-invariant theories, as well as theories with multiple deformations. When available we agree with older results, but we also produce a wealth of new ones. Furthermore, unitarity and crossing symmetry are not used in our approach and we are able to apply our method to non-unitary theories as well. Some implications of our results for the study of the non-unitary theories containing partially conserved higher-spin currents are briefly mentioned.

Authors:
 [1];  [2];  [3];  [4]
  1. Univ. of Torino (Italy). Dept. of Physics and National Inst. of Nuclear Physics
  2. Chulalongkorn Univ., Bangkok (Thailand). Dept. of Physics; National Institute of Nuclear Physics (INFN), Rome (Italy)
  3. Aristotle Univ., Thessaloniki (Greece). Inst. of Theoretical Physics
  4. National Institute of Nuclear Physics (INFN), Rome (Italy); Univ. of California, Los Angeles, CA (United States). Mani L. Bhaumik Inst. for Theoretical Physics
Publication Date:
Research Org.:
California Institute of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1368394
Grant/Contract Number:  
SC0010255
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: 4; 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; Higher Spin Symmetry

Citation Formats

Gliozzi, Ferdinando, Guerrieri, Andrea L., Petkou, Anastasios C., and Wen, Congkao. The analytic structure of conformal blocks and the generalized Wilson-Fisher fixed points. United States: N. p., 2017. Web. doi:10.1007/JHEP04(2017)056.
Gliozzi, Ferdinando, Guerrieri, Andrea L., Petkou, Anastasios C., & Wen, Congkao. The analytic structure of conformal blocks and the generalized Wilson-Fisher fixed points. United States. doi:10.1007/JHEP04(2017)056.
Gliozzi, Ferdinando, Guerrieri, Andrea L., Petkou, Anastasios C., and Wen, Congkao. Tue . "The analytic structure of conformal blocks and the generalized Wilson-Fisher fixed points". United States. doi:10.1007/JHEP04(2017)056. https://www.osti.gov/servlets/purl/1368394.
@article{osti_1368394,
title = {The analytic structure of conformal blocks and the generalized Wilson-Fisher fixed points},
author = {Gliozzi, Ferdinando and Guerrieri, Andrea L. and Petkou, Anastasios C. and Wen, Congkao},
abstractNote = {Here, we describe in detail the method used in our previous work arXiv:1611.10344 to study the Wilson-Fisher critical points nearby generalized free CFTs, exploiting the analytic structure of conformal blocks as functions of the conformal dimension of the exchanged operator. Our method is equivalent to the mechanism of conformal multiplet recombination set up by null states. We also compute, to the first non-trivial order in the ε-expansion, the anomalous dimensions and the OPE coefficients of infinite classes of scalar local operators using just CFT data. We study single-scalar and O(N)-invariant theories, as well as theories with multiple deformations. When available we agree with older results, but we also produce a wealth of new ones. Furthermore, unitarity and crossing symmetry are not used in our approach and we are able to apply our method to non-unitary theories as well. Some implications of our results for the study of the non-unitary theories containing partially conserved higher-spin currents are briefly mentioned.},
doi = {10.1007/JHEP04(2017)056},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2017,
place = {United States},
year = {2017},
month = {4}
}

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Cited by: 7 works
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    Works referencing / citing this record:

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