Resonant algebras and gravity

作者: Remigiusz Durka

DOI: 10.1088/1751-8121/AA5C0B

关键词: Abelian groupContext (language use)Zero elementMathematicsIdentity elementLorentz transformationGravity (chemistry)Pure mathematicsLie algebraSemigroup

摘要: The S-expansion framework is analyzed in the context of a freedom closing multiplication tables for abelian semigroups. Including possibility zero element resonant decomposition, and associating Lorentz generator with semigroup identity element, leads to wide class expanded Lie algebras introducing interesting modifications gauge gravity theories. Among results, we find all Maxwell type , recently introduced . additional new examples complete resulting generalization bosonic enlargements an arbitrary number Lorentz-like translational-like generators. Some further prospects concerning enlarging are discussed, along providing necessary constituents constructing actions based on obtained results.

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