The signed monodromy group of an Adinkra

DOI10.4171/AIHPD/132MaRDI QIDQ2693185

Edray Herber Goins, Kory Stiffler, Jordan Kostiuk, Kevin M. Iga

Publication date: 17 March 2023

Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.02609

zbMATH Keywords

monodromyClifford algebrasigned permutationBelyi mapSalingaros vee groupAdinkra

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Coverings of curves, fundamental group (14H30) Dessins d'enfants theory (14H57) Permutation groups (20Bxx)

Uses Software

• Adinkras

Cites Work

• Geometrization of \(N\)-extended 1-dimensional supersymmetry algebras. I.
• Spinor modules of Clifford algebras in classes \(N_{2k-1}\) and \(\Omega _{2k-1}\) are determined by irreducible nonlinear characters of corresponding Salingaros vee groups
• Codes and supersymmetry in one dimension
• Generating all 36,864 four-color adinkras via signed permutations and organizing into \(\ell\)- and \(\widetilde{\ell}\)-equivalence classes
• An application of cubical cohomology to Adinkras and supersymmetry representations
• Geometrization of \(N\)-extended 1-dimensional supersymmetry algebras. II.
• Adinkras, 0-branes, holoraumy and the SUSY QFT/QM correspondence
• ON GRAPH-THEORETIC IDENTIFICATIONS OF ADINKRAS, SUPERSYMMETRY REPRESENTATIONS AND SUPERFIELDS
• Realization, extension, and classification of certain physically important groups and algebras
• On Clifford-algebraic dimensional extension and SUSY holography
• Adinkras for mathematicians
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