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Fun with F₂₄

Harrison, Sarah M. and Paquette, Natalie M. and Persson, Daniel and Volpato, Roberto (2021) Fun with F₂₄. Journal of High Energy Physics, 2021 (2). Art. No. 39. ISSN 1029-8479. doi:10.1007/jhep02(2021)039.

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We study some special features of F₂₄, the holomorphic c = 12 superconformal field theory (SCFT) given by 24 chiral free fermions. We construct eight different Lie superalgebras of “physical” states of a chiral superstring compactified on F₂₄, and we prove that they all have the structure of Borcherds-Kac-Moody superalgebras. This produces a family of new examples of such superalgebras. The models depend on the choice of an N = 1 supercurrent on F₂₄, with the admissible choices labeled by the semisimple Lie algebras of dimension 24. We also discuss how F₂₄, with any such choice of supercurrent, can be obtained via orbifolding from another distinguished c = 12 holomorphic SCFT, the NN = 1 supersymmetric version of the chiral CFT based on the E₈ lattice.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Paquette, Natalie M.0000-0003-2078-7165
Volpato, Roberto0000-0002-0719-3648
Alternate Title:Fun with F24
Additional Information:© 2021 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 06 October 2020; Accepted 18 December 2020; Published 03 February 2021. It is a pleasure to thank R. Borcherds, S. Carnahan and V. Gritsenko for very helpful email correspondences. The work of S.M.H. is supported by the National Science and Engineering Council of Canada, an FRQNT new university researchers start-up grant, and the Canada Research Chairs program. NMP was supported by a Sherman Fairchild Postdoctoral Fellowship at Caltech and by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number de-sc0011632, and is currently supported by the grant NSF PHY-1911298, and the Sivian Fund. D.P. was supported by the Swedish Research Council (Vetenskapsrådet), grant nr. 2018-04760.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Fonds de recherche du Québec – Nature et technologies (FRQNT)UNSPECIFIED
Canada Research Chairs ProgramUNSPECIFIED
Sherman Fairchild FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Swedish Research Council2018-04760
Subject Keywords:Conformal and W Symmetry; Conformal Field Models in String Theory; Conformal Field Theory; BRST Quantization
Issue or Number:2
Record Number:CaltechAUTHORS:20210209-145341831
Persistent URL:
Official Citation:Harrison, S.M., Paquette, N.M., Persson, D. et al. Fun with F24. J. High Energ. Phys. 2021, 39 (2021).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:107971
Deposited By: Tony Diaz
Deposited On:09 Feb 2021 23:10
Last Modified:16 Nov 2021 19:07

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