Orbifold Singularities, Lie Algebras of the Third Kind (LATKes), and Pure Yang-Mills with Matter

Authors

Tamar Friedmann, Massachusetts Institute of TechnologyFollow

Document Type

Article

Publication Date

2011

Publication Title

Journal of Mathematical Physics

Abstract

We discover the unique, simple Lie Algebra of the Third Kind, or LATKe, that stems from codimension 6 orbifold singularities and gives rise to a new kind of YangMills theory which simultaneously is pure and contains matter. The root space of the LATKe is 1-dimensional and its Dynkin diagram consists of one point. The uniqueness of the LATKe is a vacuum selection mechanism.

Volume

52

DOI

doi.org/10.1063/1.3528673

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Rights

© the author

Comments

Peer reviewed accepted manuscript.

Recommended Citation

Friedmann, Tamar, "Orbifold Singularities, Lie Algebras of the Third Kind (LATKes), and Pure Yang-Mills with Matter" (2011). Mathematics Sciences: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/65