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The last of the Hurwitz algebras, octonions, and their various applications in hadronic physics are exploited. We point to relations of new algebras labeled by R appearing in Galois theory and those marked by the script l that appear in superstring theories, closely related to split-octonion algebra utilized in the description of dynamical hadronic supersymmetry. We further elaborate on Jordan algebras, magic squares, seven spheres, and supergravity, pointing to the existence of a larger theory with a 27-dimensional lattice and unifying all known superstring theories. Dynamical supersymmetries based on SU(m/n) groups in hadronic and nuclear physics are briefly discussed.

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Hurwitz Algebras at the Core of Classification of Possible Symmetries in Hadronic Physics

  • 会议论文

  • 发表日期：

    2025年

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  • Sultan Catto,
  • Bogdan Nicolescu

摘要

The last of the Hurwitz algebras, octonions, and their various applications in hadronic physics are exploited. We point to relations of new algebras labeled by R appearing in Galois theory and those marked by the script l that appear in superstring theories, closely related to split-octonion algebra utilized in the description of dynamical hadronic supersymmetry. We further elaborate on Jordan algebras, magic squares, seven spheres, and supergravity, pointing to the existence of a larger theory with a 27-dimensional lattice and unifying all known superstring theories. Dynamical supersymmetries based on SU(m/n) groups in hadronic and nuclear physics are briefly discussed.