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arXiv 1808.02498hep-th
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量子引力中的一种隐藏对称性

A hidden symmetry in quantum gravity

Sudarshan Ananth, Lars Brink, Sucheta Majumdar

摘要:

作用量积分比运动方程包含更多的信息。我们以前已经证明,在四维空间中,N=8的超引力存在着扩展的例外对称性的迹象。这种对称性使得拉格朗日量中使用的场不是对称性的表示。相反,人们必须添加表示以获得扩展对称群的表示。本文讨论四维引力中的一种推广对称性--三维Ehlers对称性。它不能被四维引力的螺旋度态所跨越,但是一旦我们把螺旋度态看作泛函积分的场变量,它就可以实现,泛函积分可以像任何积分中的变量一样变化。我们还解释了这种对称性是如何固有的公式N=8超引力在四维通过截断场空间的纯引力。

英文摘要:

The action integral contains more information than the equations of motion. We have previously shown that there are signs of an extended exceptional symmetry for N=8 supergravity in four dimensions. The symmetry is such that the fields used in the Lagrangian are not representations of the symmetry. Instead one has to add representations to obtain a representation of the extended symmetry group. In this paper we discuss an extended symmetry in four-dimensional gravity which is the Ehlers symmetry in three dimensions. It cannot be spanned by the helicity states of four-dimensional gravity but it can be realised once we treat the helicity states just as field variables of the functional integral, which can be changed like variables in any integral. We also explain how this symmetry is inherent to formulations of N=8 supergravity in four dimensions through a truncation in the field space to pure gravity.

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。

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