Supersymmetric dS n solutions for n ? 5in D = 11 supergravity

Supersymmetric dS n solutions for n ? 5in D = 11 supergravity
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n 的超对称 dS n 解?

DOI:
10.1088/1751-8121/ac8208
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发表时间:
2022
期刊:
Mathematical and Theoretical
影响因子:
--
通讯作者:
Farotti D
Farotti D
中科院分区:
--
文献类型:
--
作者:
Farotti D

文献摘要

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我们确定了在D= 11的超引力中,在不假设Killing旋量因子分解的情况下,翘曲积dSn解5 <$n <$10保持超对称性的充要条件。我们证明了,对于7 × n × 10,所有这样的解都是平坦的,具有消失的四形式。我们还证明了唯一的翘曲积dS6解要么是最大超对称AdS 7× S4解,要么是最大超对称AdS 7× S4解,
We determine the necessary and sufficient conditions for warped product dS n solutions, 5⩽ n⩽ 10, to preserve supersymmetry in D= 11 supergravity, without assuming factorization of the Killing spinors. We prove that for 7⩽ n⩽ 10, all such solutions are flat, with vanishing four-form. We also show that the only warped product dS 6 solutions are either the maximally supersymmetric AdS 7× S 4 solution, or