A super vielbein is the analogue of a vielbein in supergeometry.
Let $N$ be a real spin representation and let $(x^a, \theta^\alpha)$ be the canonical coordinates on the supermanifold $\mathbb{R}^{d-1,1\vert N}$ underlying the super Minkowski spacetime super translation group. Then the canonical super vielbein is the $\mathbb{R}^{d-1,1\vert N}$-valued super differential form with components
$\psi^\alpha \coloneqq \mathbf{d} \theta^\alpha$.
$e^a \coloneqq \mathbf{d} x^a + \overline{\theta} \Gamma^a \mathbf{d} \theta$.
Last revised on July 31, 2018 at 10:24:59. See the history of this page for a list of all contributions to it.