Fun with F24

A bstract We study some special features of F 24 , 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 F 24 , and we prove that they all have the struct...

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Bibliographic Details
Published in:The journal of high energy physics 2021-02, Vol.2021 (2), p.1-48, Article 39
Main Authors: Harrison, Sarah M., Paquette, Natalie M., Persson, Daniel, Volpato, Roberto
Format: Article
Language:English
Subjects:
Algebra
BRST Quantization
Classical and Quantum Gravitation
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Conformal and W Symmetry
Conformal Field Models in String Theory
Conformal Field Theory
Construction
Elementary Particles
Fermions
Field theory
Fysik
High energy physics
Lie groups
Mathematical analysis
Physical Sciences
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Spacetime
String Theory
Symmetry
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Summary:A bstract We study some special features of F 24 , 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 F 24 , 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 F 24 , with the admissible choices labeled by the semisimple Lie algebras of dimension 24. We also discuss how F 24 , with any such choice of supercurrent, can be obtained via orbifolding from another distinguished c = 12 holomorphic SCFT, the N = 1 supersymmetric version of the chiral CFT based on the E 8 lattice.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP02(2021)039