A Unified Enumeration of 1-dimension Garden Algebras and Valise Adinkras
Autor: | Yan X Zhang |
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Jazyk: | angličtina |
Rok vydání: | 2018 |
Předmět: |
Statistics and Probability
High Energy Physics - Theory Algebra and Number Theory Computation Dimension (graph theory) One-dimensional space 81Q60 05A15 FOS: Physical sciences Statistical and Nonlinear Physics Graph theory Supersymmetry Combinatorics High Energy Physics - Theory (hep-th) FOS: Mathematics Enumeration Discrete Mathematics and Combinatorics Mathematics - Combinatorics Combinatorics (math.CO) Geometry and Topology Complement (set theory) Mathematics |
Popis: | In the study of supersymmetry in one dimension, various works enumerate sets of generators of garden algebras $GR(d,N)$ (and equivalently, valise Adinkras) for special cases $N = d = 4$ and $N = d = 8$, using group-theoretic methods and computer computation. We complement this work by enumerating the objects for arbitrary $N$ and $d$ via a formula in a streamlined manner. |
Databáze: | OpenAIRE |
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