论文标题
非忠实的三维超级重力理论和半群扩展方法
Non-relativistic three-dimensional supergravity theories and semigroup expansion method
论文作者
论文摘要
在这项工作中，我们提出了一种替代方法，可以在三个时空维度中构建多种非忠实的Chern-Simons超级理论。为此，我们将基于半群的Lie代数扩展方法应用于Nappi-witten代数的超对称扩展。获得了两个不同的非忠实超级级别的家族，分别对应于扩展的Bargmann Superalgebra的概括和扩展的牛顿 - 霍克超级甲壳虫。此处考虑的扩展方法允许以系统的方式获得已知和新的非权利主义超级重力模型。特别是，它立即为扩展的Superalgebra提供了一个不变的张量，这对于构建相应的Chern-Simons超级动作至关重要。我们表明，扩展的Bargmann超级加重及其麦克斯韦的概括似乎是广义扩展的Bargmann超级强烈理论的特定子案例。此外，我们证明了通过收缩过程相关的广义扩展的Bargmann和广义扩展的Newton-Hooke Supergravity家族。
In this work we present an alternative method to construct diverse non-relativistic Chern-Simons supergravity theories in three spacetime dimensions. To this end, we apply the Lie algebra expansion method based on semigroups to a supersymmetric extension of the Nappi-Witten algebra. Two different families of non-relativistic superalgebras are obtained, corresponding to generalizations of the extended Bargmann superalgebra and extended Newton-Hooke superalgebra, respectively. The expansion method considered here allows to obtain known and new non-relativistic supergravity models in a systematic way. In particular, it immediately provides an invariant tensor for the expanded superalgebra, which is essential to construct the corresponding Chern-Simons supergravity action. We show that the extended Bargmann supergravity and its Maxwellian generalization appear as particular subcases of a generalized extended Bargmann supergravity theory. In addition, we demonstrate that the generalized extended Bargmann and generalized extended Newton-Hooke supergravity families are related through a contraction process.
