论文标题
谐振超级甲虫和$ \ MATHCAL {n} = 1 $三个时空维度的超级重力理论
Resonant superalgebras and $\mathcal{N}=1$ supergravity theories in three spacetime dimensions
论文作者
论文摘要
我们探索$ \ Mathcal {n} = 1 $代数超出庞加莱的超对称扩展，并在三个时空维度中的广告中延伸。除了复制两个已知的例子外，我们提供了新的超级甲壳虫，它们都与超对称扩展相对应，并带有一项费米金费用$q_α$，涉及所谓的共振代数，其特征是存在其他波斯型生成器$ z_ {a} $，除了lorentz $ j_ $ j_} $} $} $} $ {a} $} $ perdation。直接遵守超级雅各比身份，获得了八个超对称$ JPZ+Q $方案。我们指出的是，超级甲壳虫必须满足才能成功纳入有效的超级重力动作中。提出的代数和拉格朗日框架组织并帮助我们更好地理解各种超级重力和超对称的Chern-Simons行动之间不变的共鸣超级级别的关系。
We explore $\mathcal{N}=1$ supersymmetric extensions of algebras going beyond the Poincaré and AdS ones in three spacetime dimensions. Besides reproducing two known examples, we present new superalgebras, which all correspond to supersymmetric extensions with one fermionic charge $Q_α$ concerning the so-called resonant algebras being characterized by the presence of an additional bosonic generator $Z_{a}$, besides the Lorentz $J_{a}$ and translation $P_{a}$ generators. Obtained eight supersymmetric $JPZ+Q$ schemes result directly from obeying super-Jacobi identities. We point out particular requirements that superalgebras have to satisfy to be successfully incorporated within valid supergravity actions. The presented algebraic and Lagrangian framework organizes and helps us better understand relations between the various supergravity and supersymmetric Chern-Simons actions invariant under diverse resonant superalgebras.
