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Published July 12, 2017 | Submitted
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Adinkras, Dessins, Origami, and Supersymmetry Spectral Triples

Abstract

We investigate the spectral geometry and spectral action functionals associated to 1D Supersymmetry Algebras, using the classification of these superalgebras in terms of Adinkra graphs and the construction of associated dessin d'enfant and origami curves. The resulting spectral action functionals are computed in terms of the Selberg (super) trace formula.

Additional Information

The first author is supported by NSF grants DMS-1201512 and PHY-1205440. The second author is supported by a Summer Undergraduate Research Fellowship at Caltech. We thank Kevin Iga for a careful reading of the manuscript and for very useful comments and suggestions.

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September 15, 2023
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