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arXiv 0802.4106hep-th
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N=8超重力场上E7(7)的显式Action

Explicit Action of E7(7) on N=8 Supergravity Fields

Renata Kallosh, Masoud Soroush

摘要:

本文给出了在E7(7)/SU(8)陪集空间中70个标量规范下,N=8的壳层上超引力场在引力耦合E7(7)对称性中的一个精确到所有阶的显式E7(7)对称性变换,其中局域SU(8)对称性是固定的。E7(7)的非线性实现包括一个依赖于场的SU(8)变换,它保持了幺正规范。我们发现守恒的Noether-Gaillard-Zumino电流具有E7(7)对称性,其线性部分是手征SU(8)对称性。本文讨论了含伸缩算子的E7(7)代数的共形实现。我们希望这些结果可以为研究异常/无异常和N=8超引力的紫外行为提供有用的信息。

英文摘要:

We present an explicit, exact to all orders in gravitational coupling E7(7) symmetry transformations of on-shell N=8 supergravity fields in the gauge with 70 scalars in E7(7)/SU(8) coset space, the local SU(8) symmetry being fixed. The non-linear realization of E7(7) includes a field-dependent SU(8) transformation preserving the unitary gauge. We find the conserved Noether-Gaillard-Zumino current of E7(7) symmetry, the linear part of it being a chiral SU(8) symmetry. We comment on the conformal realization of the E7(7) algebra which includes a dilatation operator. We hope that these results can be useful for studies of anomalies/absence of anomalies and the UV behavior of N=8 supergravity.

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