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arXiv 0903.4384hep-th
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双重重力与E11是否一致?

Can dual gravity be reconciled with E11?

Eric A. Bergshoeff, Mees de Roo, Olaf Hohm

摘要:

我们将最近提出的对偶引力公式推广到11维超引力的情形。给出了对应于这种替代制剂的超对称作用,并表明它导致一组一阶对偶关系,所有二阶运动方程遵循可积性条件。在对应于束缚的E11对称性的场之上,作用量的特征是Stuckelberg规范场,它促进了对偶引力子上任意对称性的实现。然而,没有允许消除Stuckelberg场的量规固定。因此,E11本身并不是11维超引力的对称性,但至少必须由Stuckelberg对称性来扩展。

英文摘要:

We extend a recently proposed formulation of dual gravity to the case of eleven-dimensional supergravity. The supersymmetric action corresponding to this alternative formulation is given, and it is shown that it leads to a set of first-order duality relations from which all second-order equations of motion follow as integrability conditions. On top of the fields corresponding to the conjectured E11 symmetry the action features Stuckelberg gauge fields that facilitate the realization of arbitrary symmetries on the dual graviton. However, there is no gauge-fixing that allows to eliminate the Stuckelberg fields. Therefore, E11 by itself is not a symmetry of eleven-dimensional supergravity but has to be extended at least by the Stuckelberg symmetries.

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