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September 5, 2025Journal of High Energy PhysicsOpen Access

Non-associative algebras of cubic matrices and their gauge theories

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Authors

RBRalph BlumenhagenAPAntonia ParaskevopoulouTRThomas Raml

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Overview

The study generalizes gauge theories from non-associative algebras in cubic matrices, suggesting new identities.

Key Points

  • The new algebra connects two- and three-bracket structures, providing a framework for gauge theories.
  • Concrete examples are derived from structure constants of a Lie algebra, illustrating practical applications.
  • This framework expands the construction of Yang-Mills and topological BF theories, addressing underlying issues.
  • The results hint at relationships between traditional and higher structure theories, enhancing theoretical foundations.

Cite This Study

Blumenhagen et al. (2025) studied this question.

synapsesocial.com/papers/68bb4d276d6d5674bcd01292https://doi.org/10.1007/jhep09(2025)003
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