Fun with F₂₄
Abstract
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.
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.Attached Files
Published - Harrison2021_Article_FunWithF24.pdf
Submitted - 2009.14710.pdf
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Additional details
- Alternative title
- Fun with F24
- Eprint ID
- 107971
- Resolver ID
- CaltechAUTHORS:20210209-145341831
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- Fonds de recherche du Québec – Nature et technologies (FRQNT)
- Canada Research Chairs Program
- Sherman Fairchild Foundation
- Department of Energy (DOE)
- DE-SC0011632
- NSF
- PHY-1911298
- Sivian Fund
- Swedish Research Council
- 2018-04760
- SCOAP3
- Created
-
2021-02-09Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics