论文标题
线性化的脱壳4+7超级级超级几何
Linearized Off-shell 4+7 Supergeometry of 11D Supergravity
论文作者
论文摘要
我们描述了具有四个脱离局部局部超对称性的十一维超重力的线性性超几何。我们从背景Minkowski 11d，n = 1超空间开始，以及全球，常数，$ G_2 $结构的附加成分，可有助于$ 4 | 4+7 $背景超级空间的定义。几何成分的线性波动的自下而上的结构（例如Supervielbein，Spin Connection和Super 3形成11D超级重力）的自下而上，以4D，N = 1的预势超级场来给出。这是对$ 4 | 4+7 $超空间直接处理扭转，曲率和比安奇身份的$ 4 | 4+7 $超级几何的自上而下的描述的补充。扭转约束（与Bianchi身份相结合）导致了仪表场的先前的前表达式。除尺寸2 bianchi身份外，扭转和4形Bianchi身份的所有不可检查的后果都是系统地得出的，尺寸为$ \ tfrac 52 $ bianchi扭转的身份，这使一个较低尺寸的圆锥形卷发设置为较低尺寸的圆锥形卷发。
We describe the linearized supergeometry of eleven dimensional supergravity with four off-shell local supersymmetries. We start with a background Minkowski 11D, N=1 superspace, and an additional ingredient of a global, constant, $G_2$-structure which facilitates the definition of a $4|4+7$ background superspace. A bottom-up construction of linear fluctuations of the geometric constituents (such as supervielbein, spin connection, and the super 3-form of 11D supergravity) is given in terms of 4D, N=1 prepotential superfields. This is complemented by a top-down description of the linearized supergeometry of the $4|4+7$ superspace dealing directly with torsion, curvature, and Bianchi identities. Torsion constraints that (combined with the Bianchi identities) lead to the preceding prepotential expressions of the gauge fields are identified. All irreducible consequences of the torsion and 4-form Bianchi identities are systematically derived except for dimension 2 Bianchi identities of the 4-form, and dimension $\tfrac 52$ Bianchi identities of torsion, which set bosonic curls of components of one lower dimension to zero.
