论文标题
$ \ Mathcal {n} = 2 $ resonant Superalgebra for Supergravity
$\mathcal{N}=2$ resonant superalgebra for supergravity
论文作者
论文摘要
我们为$ \ mathcal {n} = 2 $ $ d = 3,4 $ supergravity理论提供新的Superalgebra，并赋予了$ u（1）$生成器。 Superalgebra植根于所谓的Soroka-Soroka代数，并由Lorentz $ j_ {ab} $和类似Lorentz的$ Z_ {AB} $跨越，翻译$ p_a $和$ t $生成器，以及两个shortCharges $ q^i__α$。这是给定发生器内容的唯一可能实现。我们构建了一个相应的3D Chern-Simons超级重力实现，并讨论了其相关性。
We present new superalgebra for $\mathcal{N}=2$ $D=3,4$ supergravity theory endowed with the $U(1)$ generator. The superalgebra is rooted in the so-called Soroka-Soroka algebra and spanned by the Lorentz $J_{ab}$ and Lorentz-like $Z_{ab}$, translation $P_a$ and $T$ generators, as well as two supercharges $Q^I_α$. It is the only possible realization for a given generator content. We construct a corresponding 3D Chern-Simons supergravity realization of the superalgebra and discuss its relevance.
