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• CommentRowNumber1.
• CommentAuthorDavid_Corfield
• CommentTimeApr 23rd 2018

I came across mention of homogeneous spaces for supergroups, and since we don’t have an entry for this I’ve started one.

The quotients for those two superspheres are cited in the literature, but I haven’t checked them.

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeApr 23rd 2018

Thanks!

• CommentRowNumber3.
• CommentAuthorDavid_Corfield
• CommentTimeApr 23rd 2018

Almost all work here seems to be by physicists for particular applications rather than a pure mathematical account, so perhaps only worth adding if the physics is interesting. E.g., how about

• Jaume Gomis, Dmitri Sorokin, Linus Wulff, The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes, (arXiv:0811.1566)

which deals with superspaces like the type IIA superspace $OSp(8|4)/SO(7) \times SO(1,3)$?

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeApr 23rd 2018
• (edited Apr 23rd 2018)

References like this are about super anti de Sitter spacetime (we should cross-link!). There are very many of such references, since this is what enters the AdS-CFT correspondence.

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeApr 23rd 2018

made explicit how super-Minkowski is a super-group quotient, and similarly for super anti de Sitter spacetime

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