Structural theory and classification of 2D Adinkras

DOI10.1155/2016/3980613zbMath1375.81224OpenAlexW2297424228WikidataQ59121828 ScholiaQ59121828MaRDI QIDQ1682333

Peng Zhang

Publication date: 30 November 2017

Published in: Advances in High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/3980613

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Supersymmetry and quantum mechanics (81Q60)

Related Items (5)

A proposal on culling \& filtering a Coxeter group for 4D, \( \mathcal{N} =1\) spacetime SUSY representations: revised ⋮ On discrete gradient vector fields and Laplacians of simplicial complexes ⋮ Adinkras from ordered quartets of \(BC_{4}\) Coxeter group elements and regarding 1,358,954,496 matrix elements of the gadget ⋮ Adinkras, dessins, origami, and supersymmetry spectral triples ⋮ Generating all 36,864 four-color adinkras via signed permutations and organizing into \(\ell\)- and \(\widetilde{\ell}\)-equivalence classes

Uses Software

• Adinkras

Cites Work

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• Automorphism properties and classification of Adinkras
• On general off-shell representations of world line (1D) supersymmetry
• On dimensional extension of supersymmetry: from worldlines to worldsheets
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• The fundamental supersymmetry challenge remains
• Codes and supersymmetry in one dimension
• An application of cubical cohomology to Adinkras and supersymmetry representations
• Weaving worldsheet supermultiplets from the worldlines within
• ON GRAPH-THEORETIC IDENTIFICATIONS OF ADINKRAS, SUPERSYMMETRY REPRESENTATIONS AND SUPERFIELDS
• Super-Zeeman embedding models onN-supersymmetric world-lines
• Adinkras for mathematicians

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