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arXiv 1507.08264hep-thastro-ph.COgr-qchep-ph
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纯德西特超引力

Pure de Sitter Supergravity

Eric A. Bergshoeff, Daniel Z. Freedman, Renata Kallosh, Antoine Van Proeyen

摘要:

利用超共形方法,我们导出了自发破缺局部${\cal N}=1$超对称下的一个显式de Sitter超引力作用量不变量。超引力多重态与幂零的Goldstino多重态相互作用。我们给出了一个完整的局域超对称作用量,它包括引力子和费米子场,引力子和Goldstino,没有标量。在超引力多重态叠加的整体极限下,我们的行为再现了B-Akulov理论。在goldstino消失的幺正规范中,我们恢复了具有正宇宙学常数的纯超引力。所有费米子都为零的经典运动方程有一个最大对称解:德西特空间。

英文摘要:

Using superconformal methods we derive an explicit de Sitter supergravity action invariant under spontaneously broken local ${\cal N}=1$ supersymmetry. The supergravity multiplet interacts with a nilpotent goldstino multiplet. We present a complete locally supersymmetric action including the graviton and the fermionic fields, gravitino and goldstino, no scalars. In the global limit when supergravity multiplet decouples, our action reproduces the Volkov-Akulov theory. In the unitary gauge where goldstino vanishes we recover pure supergravity with the positive cosmological constant. The classical equations of motion, with all fermions vanishing, have a maximally symmetric solution: de Sitter space.

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