2022/12/07 by R. Durka, Durka, Remigiusz, Krzysztof M. Graczyk +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.2212.03950
openalex publication_date 2022/12/07 · openalex created_date 2022/12/22 · openalex updated_date 2026/07/28
Applying an efficient pattern-based computational method of generating the so-called 'resonating' algebraic structures results in a broad class of the new Lie (super)algebras. Those structures inherit the AdS base (anti)commutation pattern and can be treated as the enlargements of the Poincaré or Anti-de-Sitter (super)algebras. Obtained superalgebras are rooted in the semigroup expansion method and Maxwell and Soroka-Soroka algebras, spanned by the Lorentz generator Jab, translations Pa and additional Lorentz-like generator Zab. Considered configurations include cases up to two fermionic supercharges Qα and offer interesting modifications to the gauge (super)gravity theories.