Adinkras, Dessins, Origami, and Supersymmetry Spectral Triples
Published in p-Adic Numbers, Ultrametric Analysis and Applications, 2019
Recommended citation: Marcolli, M., Zolman, N. Adinkras, Dessins, Origami, and Supersymmetry Spectral Triples. P-Adic Num Ultrametr Anal Appl 11, 223–247 (2019). https://doi.org/10.1134/S2070046619030051 https://link.springer.com/article/10.1134/S2070046619030051
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 and of a Poisson summation formula, respectively.