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Classification of Superpotentials

Abstract:

We extend our previous classification [DW4] of superpotentials of "scalar curvature type" for the cohomogeneity one Ricci-flat equations. We now consider the case not covered in [DW4], i.e., when some weight vector of the superpotential lies outside (a scaled translate of) the convex hull of the weight vectors associated with the scalar curvature function of the principal orbit. In this situation we show that either the isotropy representation has at most 3 irreducible summands or the first o...

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Publication status:
Published

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Publisher copy:
10.1007/s00220-008-0641-z

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume:
284
Issue:
3
Pages:
583-647
Publication date:
2008-12-05
DOI:
EISSN:
1432-0916
ISSN:
0010-3616
URN:
uuid:24713325-83e9-408d-95d6-acb265a20bfa
Source identifiers:
17467
Local pid:
pubs:17467
Language:
English

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