Jun 13 – 19, 2015
University of Alberta
America/Edmonton timezone
Welcome to the 2015 CAP Congress! / Bienvenue au congrès de l'ACP 2015!

Geometrization of N-Extended 1-Dimensional Supersymmetry Algebras

Jun 16, 2015, 8:45 AM
CCIS L1-160 (University of Alberta)

CCIS L1-160

University of Alberta

Invited Speaker / Conférencier invité Theoretical Physics / Physique théorique (DTP-DPT) T1-4 Mathematical Physics (DTP) / Physique mathématique (DPT)


Charles Doran (University of Alberta)


The problem of classifying off-shell representations of the N-extended one-dimensional super Poincare algebra is closely related to the study of a class of decorated graphs known as Adinkras. We show that these combinatorial objects possess a form of emergent supergeometry: Adinkras are equivalent to very special super Riemann surfaces with divisors. The method of proof critically involves Grothendieck's theory of "dessins d'enfants", work of Cimasoni-Reshetikhin expressing spin structures on Riemann surfaces via dimer models, and an observation of Donagi-Witten on parabolic structure from ramified coverings of super Riemann surfaces.

Primary author

Charles Doran (University of Alberta)

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