论文标题
$ d = 3 $和$ d = 4 $
Covariant hamiltonian for supergravity in $d=3$ and $d=4$
论文作者
论文摘要
我们扩展了最近在参考文献中讨论的协变规形式主义。 [1]几何理论耦合到玻色子和费米克$ p $ - 形式。这允许对哈密顿的超级理论进行协变。如有示例，我们介绍了$ d = 3 $ anti anti anti n = 4 $，$ n = 1 $ supergravity（带有$ 1 $ - form和$ 2 $ - 形式的辅助辅助领域）的$ d = 3 $ d = 3 $ deant anti anti and the supergravity的汉密尔顿配方。定义了形式的波西森支架和形式 - 迪拉克支架，并用于通过算法过程找到所有规格对称性的形式的传统发生器。
We extend the covariant canonical formalism recently discussed in ref. [1] to geometric theories coupled to both bosonic and fermionic $p$-forms. This allows a covariant hamiltonian treatment of supergravity theories. As examples we present the covariant hamiltonian formulation for $d=3$ anti-De Sitter supergravity and for the "new minimal" $d=4$, $N=1$ supergravity (with $1$-form and $2$-form auxiliary fields). Form-Poisson brackets and form-Dirac brackets are defined, and used to find the form-canonical generators of all gauge symmetries via an algorithmic procedure.
