论文标题

基于模式的分析的繁殖/广告(超级)代数的共振扩大

Resonant enlargements of the Poincare/AdS (super)algebras from pattern-based analysis

论文作者

Durka, Remigiusz, Graczyk, Krzysztof M.

论文摘要

应用一种有效的基于模式的计算方法,以生成所谓的“共鸣”代数结构导致广泛的新谎言(超级)代数。这些结构继承了ADS基础(反)换向模式,可以将其视为庞加莱或抗De-sitter(超级)代数的扩大。获得的超甲虫植根于Semigroup扩展方法,Maxwell和Soroka-Soroka代数,由Lorentz Generator $ J_ {AB} $,Translations $ P_ {A} $和其他Lorentz类似Lorentz的生成器$ Z__ {AB} $。所考虑的配置包括最多两个费米子增压$q_α$,并为量规(超级)重力理论提供有趣的修改。

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 $J_{ab}$, translations $P_{a}$ and additional Lorentz-like generator $Z_{ab}$. Considered configurations include cases up to two fermionic supercharges $Q_α$ and offer interesting modifications to the gauge (super)gravity theories.

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