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キーワード:
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要旨:
We derive some general results for Killing vectors on arbitrary coset manifolds and explicitly exhibit the squashed seven-sphere as the coset space Sp4×Sp2/Sp2×Sp2. Using these results, we then analyze the zero-mass sector of supergravity of the squashed S7 and argue that it is not interpretable as a spontaneously broken version of N=8 supergravity. We also point out the existence of a new solution which combines squashing and torsion.
