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  Geometry of coset spaces and massless modes of the squashed seven-sphere in supergravity

Bais, F. A., Nicolai, H., & van Nieuwenhuizen, P. (1983). Geometry of coset spaces and massless modes of the squashed seven-sphere in supergravity. Nuclear Physics B, 228(2), 333-350. doi:10.1016/0550-3213(83)90328-0.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-5E3D-7 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-5E3E-5
Genre: Journal Article

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Bais, F. A., Author
Nicolai, Hermann1, Author           
van Nieuwenhuizen, P., Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: 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.

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 Dates: 1983-11
 Publication Status: Issued
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 Identifiers: eDoc: 351337
DOI: 10.1016/0550-3213(83)90328-0
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Title: Nuclear Physics B
  Alternative Title : Nucl. Phys. B
Source Genre: Journal
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Pages: - Volume / Issue: 228 (2) Sequence Number: - Start / End Page: 333 - 350 Identifier: ISSN: 0550-3213