Abstract

We establish a link between classical heterotic strings and the groups of the magic square associated with Jordan algebras, allowing for a uniform treatment of the bosonic and superstring sectors of the heterotic string.

Highlights

  • See next page for additional authorsMore information about this work at: https://academicworks.cuny.edu/lg_pubs/78 Discover additional works at: https://academicworks.cuny.edu

  • There is the exceptional Jordan algebra J38 of 3 × 3 octonionic matrices that are hermitian with respect to octonionic conjugation

  • The classical Lie groups can be regarded as the automorphism groups of Jordan algebras

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Summary

See next page for additional authors

More information about this work at: https://academicworks.cuny.edu/lg_pubs/78 Discover additional works at: https://academicworks.cuny.edu. This article is available at CUNY Academic Works: https://academicworks.cuny.edu/lg_pubs/78

Automorphism groups
Dimension of group
Dimension of the module X
Spinor dimension
Note that the last formula is unambiguous because of the identity
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