论文标题
宇宙学上巨大的超级重力的变分场方程
The Variational Field Equations of Cosmological Topologically Massive Supergravity
论文作者
论文摘要
我们讨论了三维Riemann-cartan空间时间中宇宙学上巨大（简单）超级重力理论的表述。我们使用外部差分形式的语言以及在3维空间时间上的Majorana旋转器的特性，以明确证明所涉及的动作密度的局部超对称性。在其骨气和费米子扇区中均完成的耦合场方程，由一阶变异原理得出，这是由Lagrange乘数方法施加的扭转构成。我们将这些场方程与使用二阶变分形式主义在文献中给出的部分结果进行了比较。
We discuss the formulation of cosmological topologically massive (simple) supergravity theory in three-dimensional Riemann-Cartan space-times. We use the language of exterior differential forms and the properties of Majorana spinors on 3-dimensional space-times to explicitly demonstrate the local supersymmetry of the action density involved. Coupled field equations that are complete in both of their bosonic and fermionic sectors are derived by a first order variational principle subject to a torsion-constraint imposed by the method of Lagrange multipliers. We compare these field equations with the partial results given in the literature using a second order variational formalism.
