arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0911.5225hep-th
收藏

E7(7)d=4 N=8超引力的不变拉格朗日量

E7(7) invariant Lagrangian of d=4 N=8 supergravity

Christian Hillmann

摘要:

本文提出了一个E7(7)不变的拉格朗日量,它不需要拉格朗日乘子就能导出d=4 N=8超引力的运动方程。这个新的行动和封闭的超对称代数的超不变性证明明确的条款,不同的Cremmer-Julia制定。由于在向量场上没有以标准的方式实现对称性,我们切换到Hamilton公式,以证明E7(7)不变作用量在一般坐标变换下的不变性。我们还构造了最大超引力的守恒E7(7)-Noether流,并对这种明显的离壳E7(7)-对称性对量子化d=4 N=8超引力的影响,特别是对相空间上的E7(7)-作用量的影响进行了评论。

英文摘要:

We present an E7(7) invariant Lagrangian that leads to the equations of motion of d=4 N=8 supergravity without using Lagrange multipliers. The superinvariance of this new action and the closure of the supersymmetry algebra are proved explicitly for the terms that differ from the Cremmer--Julia formulation. Since the diffeomorphism symmetry is not realized in the standard way on the vector fields, we switch to the Hamiltonian formulation in order to prove the invariance of the E7(7) invariant action under general coordinate transformations. We also construct the conserved E7(7)-Noether current of maximal supergravity and we conclude with comments on the implications of this manifest off-shell E7(7)-symmetry for quantizing d=4 N=8 supergravity, in particular on the E7(7)-action on phase space.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑