Speaker
Remigiusz Durka
( Institute of Theoretical Physics, University of Wroclaw )
Description
Using an efficient pattern-based computational method of generating the so-called ‘resonating’ algebraic structures results in a wide class of the new Lie (super)algebras. They are enlargements of the Poincaré and Anti-de-Sitter (super)algebras, which inherit their base (anti)commutation structure. Obtained superalgebras are rooted in the semigroup expansion method and Maxwell and Soroka-Soroka algebras, spanned by the Lorentz generator $J_ab$, translations $P_{a}$ and additional Lorentz-like generator $Z_{ab}$. Considered configurations include cases up to two fermionic supercharges $Q^I_{alpha}$ and offer interesting modifications to the gauge (super)gravity theories. Presentation is based on arxiv:2108.10304 and arxiv:2205.05921.
