Email this article Adinkras, Dessins, Origami, and Supersymmetry Spectral Triples
- Authors: Marcolli M.1,2,3, Zolman N.4
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Affiliations:
- California Institute of Technology
- Perimeter Institute for Theoretical Physics
- University of Toronto Mathematics Department
- UCLA Mathematics Department
- Issue: Vol 11, No 3 (2019)
- Pages: 223-247
- Section: Research Articles
- URL: https://journals.rcsi.science/2070-0466/article/view/201253
- DOI: https://doi.org/10.1134/S2070046619030051
- ID: 201253
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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.
About the authors
Matilde Marcolli
California Institute of Technology; Perimeter Institute for Theoretical Physics; University of Toronto Mathematics Department
Author for correspondence.
Email: matilde@caltech.edu
United States, Pasadena; Waterloo; Toronto
Nick Zolman
UCLA Mathematics Department
Author for correspondence.
Email: nick.zolman@math.ucla.edu
United States, Los Angeles
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